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Finding the Third Proportional to 7,648.88 and 11,176.88

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Solution

The third proportional to 7,648.88 and 11,176.88 is: 16,332.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,648.88 : 11,176.88 = 11,176.88 : x
  2. Step 2: Convert to fraction form
    7,648.88/11,176.88 = 11,176.88/x
  3. Step 3: Cross multiply
    7,648.88x = 11,176.88 × 11,176.88
  4. Step 4: Simplify right side
    7,648.88x = 124,922,534.77
  5. Step 5: Solve for x
    x = 124,922,534.77/7,648.88
  6. Step 6: Final answer
    x = 16,332.14

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.