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Finding the Third Proportional to 42,037 and 64,287

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Solution

The third proportional to 42,037 and 64,287 is: 98,313.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,037 : 64,287 = 64,287 : x
  2. Step 2: Convert to fraction form
    42,037/64,287 = 64,287/x
  3. Step 3: Cross multiply
    42,037x = 64,287 × 64,287
  4. Step 4: Simplify right side
    42,037x = 4,132,818,369
  5. Step 5: Solve for x
    x = 4,132,818,369/42,037
  6. Step 6: Final answer
    x = 98,313.83

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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.