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Finding the Third Proportional to 24,903 and 53,582

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Solution

The third proportional to 24,903 and 53,582 is: 115,288.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,903 : 53,582 = 53,582 : x
  2. Step 2: Convert to fraction form
    24,903/53,582 = 53,582/x
  3. Step 3: Cross multiply
    24,903x = 53,582 × 53,582
  4. Step 4: Simplify right side
    24,903x = 2,871,030,724
  5. Step 5: Solve for x
    x = 2,871,030,724/24,903
  6. Step 6: Final answer
    x = 115,288.55

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.