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Finding the Third Proportional to 30,458 and 46,281

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Solution

The third proportional to 30,458 and 46,281 is: 70,324.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,458 : 46,281 = 46,281 : x
  2. Step 2: Convert to fraction form
    30,458/46,281 = 46,281/x
  3. Step 3: Cross multiply
    30,458x = 46,281 × 46,281
  4. Step 4: Simplify right side
    30,458x = 2,141,930,961
  5. Step 5: Solve for x
    x = 2,141,930,961/30,458
  6. Step 6: Final answer
    x = 70,324.08

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.