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Finding the Third Proportional to 38,342.25 and 56,224.13

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Solution

The third proportional to 38,342.25 and 56,224.13 is: 82,445.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,342.25 : 56,224.13 = 56,224.13 : x
  2. Step 2: Convert to fraction form
    38,342.25/56,224.13 = 56,224.13/x
  3. Step 3: Cross multiply
    38,342.25x = 56,224.13 × 56,224.13
  4. Step 4: Simplify right side
    38,342.25x = 3,161,152,232.02
  5. Step 5: Solve for x
    x = 3,161,152,232.02/38,342.25
  6. Step 6: Final answer
    x = 82,445.66

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.