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Finding the Third Proportional to 37,482 and 58,527

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Solution

The third proportional to 37,482 and 58,527 is: 91,388.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,482 : 58,527 = 58,527 : x
  2. Step 2: Convert to fraction form
    37,482/58,527 = 58,527/x
  3. Step 3: Cross multiply
    37,482x = 58,527 × 58,527
  4. Step 4: Simplify right side
    37,482x = 3,425,409,729
  5. Step 5: Solve for x
    x = 3,425,409,729/37,482
  6. Step 6: Final answer
    x = 91,388.13

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.