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Finding the Third Proportional to 9,432.56 and 15,629.06

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Solution

The third proportional to 9,432.56 and 15,629.06 is: 25,896.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,432.56 : 15,629.06 = 15,629.06 : x
  2. Step 2: Convert to fraction form
    9,432.56/15,629.06 = 15,629.06/x
  3. Step 3: Cross multiply
    9,432.56x = 15,629.06 × 15,629.06
  4. Step 4: Simplify right side
    9,432.56x = 244,267,594.63
  5. Step 5: Solve for x
    x = 244,267,594.63/9,432.56
  6. Step 6: Final answer
    x = 25,896.21

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.