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Finding the Third Proportional to 24,413 and 53,498

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Solution

The third proportional to 24,413 and 53,498 is: 117,234.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,413 : 53,498 = 53,498 : x
  2. Step 2: Convert to fraction form
    24,413/53,498 = 53,498/x
  3. Step 3: Cross multiply
    24,413x = 53,498 × 53,498
  4. Step 4: Simplify right side
    24,413x = 2,862,036,004
  5. Step 5: Solve for x
    x = 2,862,036,004/24,413
  6. Step 6: Final answer
    x = 117,234.10

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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.