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Finding the Third Proportional to 39,643 and 54,362

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Solution

The third proportional to 39,643 and 54,362 is: 74,546.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,643 : 54,362 = 54,362 : x
  2. Step 2: Convert to fraction form
    39,643/54,362 = 54,362/x
  3. Step 3: Cross multiply
    39,643x = 54,362 × 54,362
  4. Step 4: Simplify right side
    39,643x = 2,955,227,044
  5. Step 5: Solve for x
    x = 2,955,227,044/39,643
  6. Step 6: Final answer
    x = 74,546.00

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.