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Finding the Third Proportional to 24,413 and 53,302

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Solution

The third proportional to 24,413 and 53,302 is: 116,376.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,413 : 53,302 = 53,302 : x
  2. Step 2: Convert to fraction form
    24,413/53,302 = 53,302/x
  3. Step 3: Cross multiply
    24,413x = 53,302 × 53,302
  4. Step 4: Simplify right side
    24,413x = 2,841,103,204
  5. Step 5: Solve for x
    x = 2,841,103,204/24,413
  6. Step 6: Final answer
    x = 116,376.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.