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Finding the Third Proportional to 9,252 and 19,657.13

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Solution

The third proportional to 9,252 and 19,657.13 is: 41,764.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,252 : 19,657.13 = 19,657.13 : x
  2. Step 2: Convert to fraction form
    9,252/19,657.13 = 19,657.13/x
  3. Step 3: Cross multiply
    9,252x = 19,657.13 × 19,657.13
  4. Step 4: Simplify right side
    9,252x = 386,402,563.27
  5. Step 5: Solve for x
    x = 386,402,563.27/9,252
  6. Step 6: Final answer
    x = 41,764.22

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.