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Finding the Third Proportional to 9,542.75 and 14,597.75

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Solution

The third proportional to 9,542.75 and 14,597.75 is: 22,330.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,542.75 : 14,597.75 = 14,597.75 : x
  2. Step 2: Convert to fraction form
    9,542.75/14,597.75 = 14,597.75/x
  3. Step 3: Cross multiply
    9,542.75x = 14,597.75 × 14,597.75
  4. Step 4: Simplify right side
    9,542.75x = 213,094,305.06
  5. Step 5: Solve for x
    x = 213,094,305.06/9,542.75
  6. Step 6: Final answer
    x = 22,330.49

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.