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Finding the Third Proportional to 11,527.31 and 14,921.72

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Solution

The third proportional to 11,527.31 and 14,921.72 is: 19,315.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,527.31 : 14,921.72 = 14,921.72 : x
  2. Step 2: Convert to fraction form
    11,527.31/14,921.72 = 14,921.72/x
  3. Step 3: Cross multiply
    11,527.31x = 14,921.72 × 14,921.72
  4. Step 4: Simplify right side
    11,527.31x = 222,657,690.45
  5. Step 5: Solve for x
    x = 222,657,690.45/11,527.31
  6. Step 6: Final answer
    x = 19,315.66

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.