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Finding the Third Proportional to 7,209 and 10,697.06

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Solution

The third proportional to 7,209 and 10,697.06 is: 15,872.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,209 : 10,697.06 = 10,697.06 : x
  2. Step 2: Convert to fraction form
    7,209/10,697.06 = 10,697.06/x
  3. Step 3: Cross multiply
    7,209x = 10,697.06 × 10,697.06
  4. Step 4: Simplify right side
    7,209x = 114,427,146.13
  5. Step 5: Solve for x
    x = 114,427,146.13/7,209
  6. Step 6: Final answer
    x = 15,872.82

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.