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Finding the Third Proportional to 37,981 and 58,962.50

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Solution

The third proportional to 37,981 and 58,962.50 is: 91,534.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,981 : 58,962.50 = 58,962.50 : x
  2. Step 2: Convert to fraction form
    37,981/58,962.50 = 58,962.50/x
  3. Step 3: Cross multiply
    37,981x = 58,962.50 × 58,962.50
  4. Step 4: Simplify right side
    37,981x = 3,476,576,406.25
  5. Step 5: Solve for x
    x = 3,476,576,406.25/37,981
  6. Step 6: Final answer
    x = 91,534.62

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.