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Finding the Third Proportional to 24,825 and 58,553

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Solution

The third proportional to 24,825 and 58,553 is: 138,104.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,825 : 58,553 = 58,553 : x
  2. Step 2: Convert to fraction form
    24,825/58,553 = 58,553/x
  3. Step 3: Cross multiply
    24,825x = 58,553 × 58,553
  4. Step 4: Simplify right side
    24,825x = 3,428,453,809
  5. Step 5: Solve for x
    x = 3,428,453,809/24,825
  6. Step 6: Final answer
    x = 138,104.89

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.