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Finding the Third Proportional to 4,597.88 and 6,910.88

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Solution

The third proportional to 4,597.88 and 6,910.88 is: 10,387.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,597.88 : 6,910.88 = 6,910.88 : x
  2. Step 2: Convert to fraction form
    4,597.88/6,910.88 = 6,910.88/x
  3. Step 3: Cross multiply
    4,597.88x = 6,910.88 × 6,910.88
  4. Step 4: Simplify right side
    4,597.88x = 47,760,193.27
  5. Step 5: Solve for x
    x = 47,760,193.27/4,597.88
  6. Step 6: Final answer
    x = 10,387.45

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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.