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Finding the Third Proportional to 14,232.38 and 22,867.31

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Solution

The third proportional to 14,232.38 and 22,867.31 is: 36,741.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,232.38 : 22,867.31 = 22,867.31 : x
  2. Step 2: Convert to fraction form
    14,232.38/22,867.31 = 22,867.31/x
  3. Step 3: Cross multiply
    14,232.38x = 22,867.31 × 22,867.31
  4. Step 4: Simplify right side
    14,232.38x = 522,913,980.97
  5. Step 5: Solve for x
    x = 522,913,980.97/14,232.38
  6. Step 6: Final answer
    x = 36,741.16

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.