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Finding the Third Proportional to 24,384 and 53,421

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Solution

The third proportional to 24,384 and 53,421 is: 117,035.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,384 : 53,421 = 53,421 : x
  2. Step 2: Convert to fraction form
    24,384/53,421 = 53,421/x
  3. Step 3: Cross multiply
    24,384x = 53,421 × 53,421
  4. Step 4: Simplify right side
    24,384x = 2,853,803,241
  5. Step 5: Solve for x
    x = 2,853,803,241/24,384
  6. Step 6: Final answer
    x = 117,035.89

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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.