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Finding the Third Proportional to 14,322.38 and 21,641.63

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Solution

The third proportional to 14,322.38 and 21,641.63 is: 32,701.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,322.38 : 21,641.63 = 21,641.63 : x
  2. Step 2: Convert to fraction form
    14,322.38/21,641.63 = 21,641.63/x
  3. Step 3: Cross multiply
    14,322.38x = 21,641.63 × 21,641.63
  4. Step 4: Simplify right side
    14,322.38x = 468,359,932.64
  5. Step 5: Solve for x
    x = 468,359,932.64/14,322.38
  6. Step 6: Final answer
    x = 32,701.28

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.