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Finding the Third Proportional to 40,724 and 58,127

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Solution

The third proportional to 40,724 and 58,127 is: 82,967.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,724 : 58,127 = 58,127 : x
  2. Step 2: Convert to fraction form
    40,724/58,127 = 58,127/x
  3. Step 3: Cross multiply
    40,724x = 58,127 × 58,127
  4. Step 4: Simplify right side
    40,724x = 3,378,748,129
  5. Step 5: Solve for x
    x = 3,378,748,129/40,724
  6. Step 6: Final answer
    x = 82,967.00

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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.