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Finding the Third Proportional to 24,122 and 52,709

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Solution

The third proportional to 24,122 and 52,709 is: 115,174.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,122 : 52,709 = 52,709 : x
  2. Step 2: Convert to fraction form
    24,122/52,709 = 52,709/x
  3. Step 3: Cross multiply
    24,122x = 52,709 × 52,709
  4. Step 4: Simplify right side
    24,122x = 2,778,238,681
  5. Step 5: Solve for x
    x = 2,778,238,681/24,122
  6. Step 6: Final answer
    x = 115,174.47

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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.