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Finding the Third Proportional to 7,750.69 and 16,488.56

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Solution

The third proportional to 7,750.69 and 16,488.56 is: 35,077.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,750.69 : 16,488.56 = 16,488.56 : x
  2. Step 2: Convert to fraction form
    7,750.69/16,488.56 = 16,488.56/x
  3. Step 3: Cross multiply
    7,750.69x = 16,488.56 × 16,488.56
  4. Step 4: Simplify right side
    7,750.69x = 271,872,693.32
  5. Step 5: Solve for x
    x = 271,872,693.32/7,750.69
  6. Step 6: Final answer
    x = 35,077.24

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.