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Finding the Third Proportional to 41,076 and 59,700

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Solution

The third proportional to 41,076 and 59,700 is: 86,768.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,076 : 59,700 = 59,700 : x
  2. Step 2: Convert to fraction form
    41,076/59,700 = 59,700/x
  3. Step 3: Cross multiply
    41,076x = 59,700 × 59,700
  4. Step 4: Simplify right side
    41,076x = 3,564,090,000
  5. Step 5: Solve for x
    x = 3,564,090,000/41,076
  6. Step 6: Final answer
    x = 86,768.19

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.