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Finding the Third Proportional to 62,953.13 and 95,037

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Solution

The third proportional to 62,953.13 and 95,037 is: 143,472.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,953.13 : 95,037 = 95,037 : x
  2. Step 2: Convert to fraction form
    62,953.13/95,037 = 95,037/x
  3. Step 3: Cross multiply
    62,953.13x = 95,037 × 95,037
  4. Step 4: Simplify right side
    62,953.13x = 9,032,031,369
  5. Step 5: Solve for x
    x = 9,032,031,369/62,953.13
  6. Step 6: Final answer
    x = 143,472.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.