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Finding the Third Proportional to 4,757 and 7,575.88

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Solution

The third proportional to 4,757 and 7,575.88 is: 12,065.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,757 : 7,575.88 = 7,575.88 : x
  2. Step 2: Convert to fraction form
    4,757/7,575.88 = 7,575.88/x
  3. Step 3: Cross multiply
    4,757x = 7,575.88 × 7,575.88
  4. Step 4: Simplify right side
    4,757x = 57,393,882.02
  5. Step 5: Solve for x
    x = 57,393,882.02/4,757
  6. Step 6: Final answer
    x = 12,065.14

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.