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Finding the Third Proportional to 2,389.78 and 3,572.16

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Solution

The third proportional to 2,389.78 and 3,572.16 is: 5,339.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,389.78 : 3,572.16 = 3,572.16 : x
  2. Step 2: Convert to fraction form
    2,389.78/3,572.16 = 3,572.16/x
  3. Step 3: Cross multiply
    2,389.78x = 3,572.16 × 3,572.16
  4. Step 4: Simplify right side
    2,389.78x = 12,760,300.27
  5. Step 5: Solve for x
    x = 12,760,300.27/2,389.78
  6. Step 6: Final answer
    x = 5,339.53

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.