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Finding the Third Proportional to 6,915.38 and 10,373.06

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Solution

The third proportional to 6,915.38 and 10,373.06 is: 15,559.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,915.38 : 10,373.06 = 10,373.06 : x
  2. Step 2: Convert to fraction form
    6,915.38/10,373.06 = 10,373.06/x
  3. Step 3: Cross multiply
    6,915.38x = 10,373.06 × 10,373.06
  4. Step 4: Simplify right side
    6,915.38x = 107,600,425.63
  5. Step 5: Solve for x
    x = 107,600,425.63/6,915.38
  6. Step 6: Final answer
    x = 15,559.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.