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Finding the Third Proportional to 4,988.75 and 7,825.88

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Solution

The third proportional to 4,988.75 and 7,825.88 is: 12,276.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,988.75 : 7,825.88 = 7,825.88 : x
  2. Step 2: Convert to fraction form
    4,988.75/7,825.88 = 7,825.88/x
  3. Step 3: Cross multiply
    4,988.75x = 7,825.88 × 7,825.88
  4. Step 4: Simplify right side
    4,988.75x = 61,244,319.52
  5. Step 5: Solve for x
    x = 61,244,319.52/4,988.75
  6. Step 6: Final answer
    x = 12,276.49

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.