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Finding the Third Proportional to 41,820 and 62,724

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Solution

The third proportional to 41,820 and 62,724 is: 94,077.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,820 : 62,724 = 62,724 : x
  2. Step 2: Convert to fraction form
    41,820/62,724 = 62,724/x
  3. Step 3: Cross multiply
    41,820x = 62,724 × 62,724
  4. Step 4: Simplify right side
    41,820x = 3,934,300,176
  5. Step 5: Solve for x
    x = 3,934,300,176/41,820
  6. Step 6: Final answer
    x = 94,077.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.