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Finding the Third Proportional to 24,643 and 53,593

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Solution

The third proportional to 24,643 and 53,593 is: 116,552.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,643 : 53,593 = 53,593 : x
  2. Step 2: Convert to fraction form
    24,643/53,593 = 53,593/x
  3. Step 3: Cross multiply
    24,643x = 53,593 × 53,593
  4. Step 4: Simplify right side
    24,643x = 2,872,209,649
  5. Step 5: Solve for x
    x = 2,872,209,649/24,643
  6. Step 6: Final answer
    x = 116,552.76

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.