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Finding the Third Proportional to 24,705 and 53,298

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Solution

The third proportional to 24,705 and 53,298 is: 114,983.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,705 : 53,298 = 53,298 : x
  2. Step 2: Convert to fraction form
    24,705/53,298 = 53,298/x
  3. Step 3: Cross multiply
    24,705x = 53,298 × 53,298
  4. Step 4: Simplify right side
    24,705x = 2,840,676,804
  5. Step 5: Solve for x
    x = 2,840,676,804/24,705
  6. Step 6: Final answer
    x = 114,983.88

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.