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Finding the Third Proportional to 39,709.50 and 61,742.50

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Solution

The third proportional to 39,709.50 and 61,742.50 is: 96,000.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,709.50 : 61,742.50 = 61,742.50 : x
  2. Step 2: Convert to fraction form
    39,709.50/61,742.50 = 61,742.50/x
  3. Step 3: Cross multiply
    39,709.50x = 61,742.50 × 61,742.50
  4. Step 4: Simplify right side
    39,709.50x = 3,812,136,306.25
  5. Step 5: Solve for x
    x = 3,812,136,306.25/39,709.50
  6. Step 6: Final answer
    x = 96,000.61

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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.