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Finding the Third Proportional to 39,300 and 59,034

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Solution

The third proportional to 39,300 and 59,034 is: 88,677.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,300 : 59,034 = 59,034 : x
  2. Step 2: Convert to fraction form
    39,300/59,034 = 59,034/x
  3. Step 3: Cross multiply
    39,300x = 59,034 × 59,034
  4. Step 4: Simplify right side
    39,300x = 3,485,013,156
  5. Step 5: Solve for x
    x = 3,485,013,156/39,300
  6. Step 6: Final answer
    x = 88,677.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.