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Finding the Third Proportional to 7,572.66 and 15,973.03

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Solution

The third proportional to 7,572.66 and 15,973.03 is: 33,691.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,572.66 : 15,973.03 = 15,973.03 : x
  2. Step 2: Convert to fraction form
    7,572.66/15,973.03 = 15,973.03/x
  3. Step 3: Cross multiply
    7,572.66x = 15,973.03 × 15,973.03
  4. Step 4: Simplify right side
    7,572.66x = 255,137,727.31
  5. Step 5: Solve for x
    x = 255,137,727.31/7,572.66
  6. Step 6: Final answer
    x = 33,691.97

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.