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Finding the Third Proportional to 9,720 and 15,589.97

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Solution

The third proportional to 9,720 and 15,589.97 is: 25,004.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,720 : 15,589.97 = 15,589.97 : x
  2. Step 2: Convert to fraction form
    9,720/15,589.97 = 15,589.97/x
  3. Step 3: Cross multiply
    9,720x = 15,589.97 × 15,589.97
  4. Step 4: Simplify right side
    9,720x = 243,047,125.63
  5. Step 5: Solve for x
    x = 243,047,125.63/9,720
  6. Step 6: Final answer
    x = 25,004.85

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.