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Finding the Third Proportional to 7,693.31 and 10,101.38

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Solution

The third proportional to 7,693.31 and 10,101.38 is: 13,263.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,693.31 : 10,101.38 = 10,101.38 : x
  2. Step 2: Convert to fraction form
    7,693.31/10,101.38 = 10,101.38/x
  3. Step 3: Cross multiply
    7,693.31x = 10,101.38 × 10,101.38
  4. Step 4: Simplify right side
    7,693.31x = 102,037,776.89
  5. Step 5: Solve for x
    x = 102,037,776.89/7,693.31
  6. Step 6: Final answer
    x = 13,263.18

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.