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Finding the Third Proportional to 7,468.88 and 11,032.88

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Solution

The third proportional to 7,468.88 and 11,032.88 is: 16,297.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,468.88 : 11,032.88 = 11,032.88 : x
  2. Step 2: Convert to fraction form
    7,468.88/11,032.88 = 11,032.88/x
  3. Step 3: Cross multiply
    7,468.88x = 11,032.88 × 11,032.88
  4. Step 4: Simplify right side
    7,468.88x = 121,724,330.77
  5. Step 5: Solve for x
    x = 121,724,330.77/7,468.88
  6. Step 6: Final answer
    x = 16,297.55

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.