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Finding the Third Proportional to 2,275.88 and 5,000.06

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Solution

The third proportional to 2,275.88 and 5,000.06 is: 10,985.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,275.88 : 5,000.06 = 5,000.06 : x
  2. Step 2: Convert to fraction form
    2,275.88/5,000.06 = 5,000.06/x
  3. Step 3: Cross multiply
    2,275.88x = 5,000.06 × 5,000.06
  4. Step 4: Simplify right side
    2,275.88x = 25,000,625.00
  5. Step 5: Solve for x
    x = 25,000,625.00/2,275.88
  6. Step 6: Final answer
    x = 10,985.06

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.