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Finding the Third Proportional to 13,871.25 and 22,062.38

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Solution

The third proportional to 13,871.25 and 22,062.38 is: 35,090.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,871.25 : 22,062.38 = 22,062.38 : x
  2. Step 2: Convert to fraction form
    13,871.25/22,062.38 = 22,062.38/x
  3. Step 3: Cross multiply
    13,871.25x = 22,062.38 × 22,062.38
  4. Step 4: Simplify right side
    13,871.25x = 486,748,390.64
  5. Step 5: Solve for x
    x = 486,748,390.64/13,871.25
  6. Step 6: Final answer
    x = 35,090.45

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.