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Finding the Third Proportional to 6,938.88 and 10,739.88

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Solution

The third proportional to 6,938.88 and 10,739.88 is: 16,623.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,938.88 : 10,739.88 = 10,739.88 : x
  2. Step 2: Convert to fraction form
    6,938.88/10,739.88 = 10,739.88/x
  3. Step 3: Cross multiply
    6,938.88x = 10,739.88 × 10,739.88
  4. Step 4: Simplify right side
    6,938.88x = 115,344,915.02
  5. Step 5: Solve for x
    x = 115,344,915.02/6,938.88
  6. Step 6: Final answer
    x = 16,623.00

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.