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Finding the Third Proportional to 24,548 and 53,254

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Solution

The third proportional to 24,548 and 53,254 is: 115,528.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,548 : 53,254 = 53,254 : x
  2. Step 2: Convert to fraction form
    24,548/53,254 = 53,254/x
  3. Step 3: Cross multiply
    24,548x = 53,254 × 53,254
  4. Step 4: Simplify right side
    24,548x = 2,835,988,516
  5. Step 5: Solve for x
    x = 2,835,988,516/24,548
  6. Step 6: Final answer
    x = 115,528.29

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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.