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Finding the Third Proportional to 6,973.13 and 9,753.19

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Solution

The third proportional to 6,973.13 and 9,753.19 is: 13,641.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,973.13 : 9,753.19 = 9,753.19 : x
  2. Step 2: Convert to fraction form
    6,973.13/9,753.19 = 9,753.19/x
  3. Step 3: Cross multiply
    6,973.13x = 9,753.19 × 9,753.19
  4. Step 4: Simplify right side
    6,973.13x = 95,124,666.41
  5. Step 5: Solve for x
    x = 95,124,666.41/6,973.13
  6. Step 6: Final answer
    x = 13,641.61

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.