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Finding the Third Proportional to 30,226.50 and 46,514.25

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Solution

The third proportional to 30,226.50 and 46,514.25 is: 71,578.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,226.50 : 46,514.25 = 46,514.25 : x
  2. Step 2: Convert to fraction form
    30,226.50/46,514.25 = 46,514.25/x
  3. Step 3: Cross multiply
    30,226.50x = 46,514.25 × 46,514.25
  4. Step 4: Simplify right side
    30,226.50x = 2,163,575,453.06
  5. Step 5: Solve for x
    x = 2,163,575,453.06/30,226.50
  6. Step 6: Final answer
    x = 71,578.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.