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Finding the Third Proportional to 38,643 and 58,776

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Solution

The third proportional to 38,643 and 58,776 is: 89,398.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,643 : 58,776 = 58,776 : x
  2. Step 2: Convert to fraction form
    38,643/58,776 = 58,776/x
  3. Step 3: Cross multiply
    38,643x = 58,776 × 58,776
  4. Step 4: Simplify right side
    38,643x = 3,454,618,176
  5. Step 5: Solve for x
    x = 3,454,618,176/38,643
  6. Step 6: Final answer
    x = 89,398.29

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.