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Finding the Third Proportional to 40,713 and 58,111.50

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Solution

The third proportional to 40,713 and 58,111.50 is: 82,945.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,713 : 58,111.50 = 58,111.50 : x
  2. Step 2: Convert to fraction form
    40,713/58,111.50 = 58,111.50/x
  3. Step 3: Cross multiply
    40,713x = 58,111.50 × 58,111.50
  4. Step 4: Simplify right side
    40,713x = 3,376,946,432.25
  5. Step 5: Solve for x
    x = 3,376,946,432.25/40,713
  6. Step 6: Final answer
    x = 82,945.16

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.