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Finding the Third Proportional to 24,203.25 and 52,427.53

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Solution

The third proportional to 24,203.25 and 52,427.53 is: 113,565.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,203.25 : 52,427.53 = 52,427.53 : x
  2. Step 2: Convert to fraction form
    24,203.25/52,427.53 = 52,427.53/x
  3. Step 3: Cross multiply
    24,203.25x = 52,427.53 × 52,427.53
  4. Step 4: Simplify right side
    24,203.25x = 2,748,646,032.97
  5. Step 5: Solve for x
    x = 2,748,646,032.97/24,203.25
  6. Step 6: Final answer
    x = 113,565.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.