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Finding the Third Proportional to 7,354.55 and 11,250.14

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Solution

The third proportional to 7,354.55 and 11,250.14 is: 17,209.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,354.55 : 11,250.14 = 11,250.14 : x
  2. Step 2: Convert to fraction form
    7,354.55/11,250.14 = 11,250.14/x
  3. Step 3: Cross multiply
    7,354.55x = 11,250.14 × 11,250.14
  4. Step 4: Simplify right side
    7,354.55x = 126,565,664.08
  5. Step 5: Solve for x
    x = 126,565,664.08/7,354.55
  6. Step 6: Final answer
    x = 17,209.17

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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.