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Finding the Third Proportional to 24,257 and 53,023

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Solution

The third proportional to 24,257 and 53,023 is: 115,902.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,257 : 53,023 = 53,023 : x
  2. Step 2: Convert to fraction form
    24,257/53,023 = 53,023/x
  3. Step 3: Cross multiply
    24,257x = 53,023 × 53,023
  4. Step 4: Simplify right side
    24,257x = 2,811,438,529
  5. Step 5: Solve for x
    x = 2,811,438,529/24,257
  6. Step 6: Final answer
    x = 115,902.15

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.