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Finding the Third Proportional to 39,528 and 61,188

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Solution

The third proportional to 39,528 and 61,188 is: 94,716.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,528 : 61,188 = 61,188 : x
  2. Step 2: Convert to fraction form
    39,528/61,188 = 61,188/x
  3. Step 3: Cross multiply
    39,528x = 61,188 × 61,188
  4. Step 4: Simplify right side
    39,528x = 3,743,971,344
  5. Step 5: Solve for x
    x = 3,743,971,344/39,528
  6. Step 6: Final answer
    x = 94,716.94

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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.