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Finding the Third Proportional to 39,700 and 61,416

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Solution

The third proportional to 39,700 and 61,416 is: 95,010.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,700 : 61,416 = 61,416 : x
  2. Step 2: Convert to fraction form
    39,700/61,416 = 61,416/x
  3. Step 3: Cross multiply
    39,700x = 61,416 × 61,416
  4. Step 4: Simplify right side
    39,700x = 3,771,925,056
  5. Step 5: Solve for x
    x = 3,771,925,056/39,700
  6. Step 6: Final answer
    x = 95,010.71

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.