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Finding the Third Proportional to 39,186 and 59,700

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Solution

The third proportional to 39,186 and 59,700 is: 90,953.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,186 : 59,700 = 59,700 : x
  2. Step 2: Convert to fraction form
    39,186/59,700 = 59,700/x
  3. Step 3: Cross multiply
    39,186x = 59,700 × 59,700
  4. Step 4: Simplify right side
    39,186x = 3,564,090,000
  5. Step 5: Solve for x
    x = 3,564,090,000/39,186
  6. Step 6: Final answer
    x = 90,953.15

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.