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Finding the Third Proportional to 2,499.56 and 3,572.06

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Solution

The third proportional to 2,499.56 and 3,572.06 is: 5,104.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,499.56 : 3,572.06 = 3,572.06 : x
  2. Step 2: Convert to fraction form
    2,499.56/3,572.06 = 3,572.06/x
  3. Step 3: Cross multiply
    2,499.56x = 3,572.06 × 3,572.06
  4. Step 4: Simplify right side
    2,499.56x = 12,759,630.50
  5. Step 5: Solve for x
    x = 12,759,630.50/2,499.56
  6. Step 6: Final answer
    x = 5,104.75

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.