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Finding the Third Proportional to 1,987.88 and 4,569.75

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Solution

The third proportional to 1,987.88 and 4,569.75 is: 10,504.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,987.88 : 4,569.75 = 4,569.75 : x
  2. Step 2: Convert to fraction form
    1,987.88/4,569.75 = 4,569.75/x
  3. Step 3: Cross multiply
    1,987.88x = 4,569.75 × 4,569.75
  4. Step 4: Simplify right side
    1,987.88x = 20,882,615.06
  5. Step 5: Solve for x
    x = 20,882,615.06/1,987.88
  6. Step 6: Final answer
    x = 10,504.99

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These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.