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Finding the Third Proportional to 9,747.98 and 15,495.26

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Solution

The third proportional to 9,747.98 and 15,495.26 is: 24,631.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,747.98 : 15,495.26 = 15,495.26 : x
  2. Step 2: Convert to fraction form
    9,747.98/15,495.26 = 15,495.26/x
  3. Step 3: Cross multiply
    9,747.98x = 15,495.26 × 15,495.26
  4. Step 4: Simplify right side
    9,747.98x = 240,103,014.68
  5. Step 5: Solve for x
    x = 240,103,014.68/9,747.98
  6. Step 6: Final answer
    x = 24,631.04

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.