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Finding the Third Proportional to 7,462.76 and 10,695.80

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Solution

The third proportional to 7,462.76 and 10,695.80 is: 15,329.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,462.76 : 10,695.80 = 10,695.80 : x
  2. Step 2: Convert to fraction form
    7,462.76/10,695.80 = 10,695.80/x
  3. Step 3: Cross multiply
    7,462.76x = 10,695.80 × 10,695.80
  4. Step 4: Simplify right side
    7,462.76x = 114,400,070.79
  5. Step 5: Solve for x
    x = 114,400,070.79/7,462.76
  6. Step 6: Final answer
    x = 15,329.46

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.