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Finding the Third Proportional to 6,895.13 and 9,748.69

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Solution

The third proportional to 6,895.13 and 9,748.69 is: 13,783.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,895.13 : 9,748.69 = 9,748.69 : x
  2. Step 2: Convert to fraction form
    6,895.13/9,748.69 = 9,748.69/x
  3. Step 3: Cross multiply
    6,895.13x = 9,748.69 × 9,748.69
  4. Step 4: Simplify right side
    6,895.13x = 95,036,907.97
  5. Step 5: Solve for x
    x = 95,036,907.97/6,895.13
  6. Step 6: Final answer
    x = 13,783.20

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.