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Finding the Third Proportional to 6,708 and 10,637.63

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Solution

The third proportional to 6,708 and 10,637.63 is: 16,869.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,708 : 10,637.63 = 10,637.63 : x
  2. Step 2: Convert to fraction form
    6,708/10,637.63 = 10,637.63/x
  3. Step 3: Cross multiply
    6,708x = 10,637.63 × 10,637.63
  4. Step 4: Simplify right side
    6,708x = 113,159,065.64
  5. Step 5: Solve for x
    x = 113,159,065.64/6,708
  6. Step 6: Final answer
    x = 16,869.27

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.