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Finding the Third Proportional to 22,883 and 53,459

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Solution

The third proportional to 22,883 and 53,459 is: 124,890.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,883 : 53,459 = 53,459 : x
  2. Step 2: Convert to fraction form
    22,883/53,459 = 53,459/x
  3. Step 3: Cross multiply
    22,883x = 53,459 × 53,459
  4. Step 4: Simplify right side
    22,883x = 2,857,864,681
  5. Step 5: Solve for x
    x = 2,857,864,681/22,883
  6. Step 6: Final answer
    x = 124,890.30

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.