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Finding the Third Proportional to 9,209.32 and 10,513.55

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Solution

The third proportional to 9,209.32 and 10,513.55 is: 12,002.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,209.32 : 10,513.55 = 10,513.55 : x
  2. Step 2: Convert to fraction form
    9,209.32/10,513.55 = 10,513.55/x
  3. Step 3: Cross multiply
    9,209.32x = 10,513.55 × 10,513.55
  4. Step 4: Simplify right side
    9,209.32x = 110,534,667.89
  5. Step 5: Solve for x
    x = 110,534,667.89/9,209.32
  6. Step 6: Final answer
    x = 12,002.48

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.