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Finding the Third Proportional to 24,294.50 and 52,417

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Solution

The third proportional to 24,294.50 and 52,417 is: 113,093.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,294.50 : 52,417 = 52,417 : x
  2. Step 2: Convert to fraction form
    24,294.50/52,417 = 52,417/x
  3. Step 3: Cross multiply
    24,294.50x = 52,417 × 52,417
  4. Step 4: Simplify right side
    24,294.50x = 2,747,541,889
  5. Step 5: Solve for x
    x = 2,747,541,889/24,294.50
  6. Step 6: Final answer
    x = 113,093.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.