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Finding the Third Proportional to 6,297.43 and 9,829.16

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Solution

The third proportional to 6,297.43 and 9,829.16 is: 15,341.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,297.43 : 9,829.16 = 9,829.16 : x
  2. Step 2: Convert to fraction form
    6,297.43/9,829.16 = 9,829.16/x
  3. Step 3: Cross multiply
    6,297.43x = 9,829.16 × 9,829.16
  4. Step 4: Simplify right side
    6,297.43x = 96,612,389.38
  5. Step 5: Solve for x
    x = 96,612,389.38/6,297.43
  6. Step 6: Final answer
    x = 15,341.55

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.