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Finding the Third Proportional to 6,657.19 and 10,697.06

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Solution

The third proportional to 6,657.19 and 10,697.06 is: 17,188.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,657.19 : 10,697.06 = 10,697.06 : x
  2. Step 2: Convert to fraction form
    6,657.19/10,697.06 = 10,697.06/x
  3. Step 3: Cross multiply
    6,657.19x = 10,697.06 × 10,697.06
  4. Step 4: Simplify right side
    6,657.19x = 114,427,146.13
  5. Step 5: Solve for x
    x = 114,427,146.13/6,657.19
  6. Step 6: Final answer
    x = 17,188.51

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.