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Finding the Third Proportional to 30,514.42 and 46,651.02

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Solution

The third proportional to 30,514.42 and 46,651.02 is: 71,320.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,514.42 : 46,651.02 = 46,651.02 : x
  2. Step 2: Convert to fraction form
    30,514.42/46,651.02 = 46,651.02/x
  3. Step 3: Cross multiply
    30,514.42x = 46,651.02 × 46,651.02
  4. Step 4: Simplify right side
    30,514.42x = 2,176,317,349.96
  5. Step 5: Solve for x
    x = 2,176,317,349.96/30,514.42
  6. Step 6: Final answer
    x = 71,320.96

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.