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Finding the Third Proportional to 24,808 and 53,505

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Solution

The third proportional to 24,808 and 53,505 is: 115,397.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,808 : 53,505 = 53,505 : x
  2. Step 2: Convert to fraction form
    24,808/53,505 = 53,505/x
  3. Step 3: Cross multiply
    24,808x = 53,505 × 53,505
  4. Step 4: Simplify right side
    24,808x = 2,862,785,025
  5. Step 5: Solve for x
    x = 2,862,785,025/24,808
  6. Step 6: Final answer
    x = 115,397.65

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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.