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Finding the Third Proportional to 9,560.06 and 20,657.63

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Solution

The third proportional to 9,560.06 and 20,657.63 is: 44,637.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,560.06 : 20,657.63 = 20,657.63 : x
  2. Step 2: Convert to fraction form
    9,560.06/20,657.63 = 20,657.63/x
  3. Step 3: Cross multiply
    9,560.06x = 20,657.63 × 20,657.63
  4. Step 4: Simplify right side
    9,560.06x = 426,737,470.64
  5. Step 5: Solve for x
    x = 426,737,470.64/9,560.06
  6. Step 6: Final answer
    x = 44,637.52

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.