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Finding the Third Proportional to 7,953.75 and 11,248.88

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Solution

The third proportional to 7,953.75 and 11,248.88 is: 15,909.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,953.75 : 11,248.88 = 11,248.88 : x
  2. Step 2: Convert to fraction form
    7,953.75/11,248.88 = 11,248.88/x
  3. Step 3: Cross multiply
    7,953.75x = 11,248.88 × 11,248.88
  4. Step 4: Simplify right side
    7,953.75x = 126,537,188.77
  5. Step 5: Solve for x
    x = 126,537,188.77/7,953.75
  6. Step 6: Final answer
    x = 15,909.12

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.