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Finding the Third Proportional to 1,516.78 and 2,038.29

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Solution

The third proportional to 1,516.78 and 2,038.29 is: 2,739.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,516.78 : 2,038.29 = 2,038.29 : x
  2. Step 2: Convert to fraction form
    1,516.78/2,038.29 = 2,038.29/x
  3. Step 3: Cross multiply
    1,516.78x = 2,038.29 × 2,038.29
  4. Step 4: Simplify right side
    1,516.78x = 4,154,622.30
  5. Step 5: Solve for x
    x = 4,154,622.30/1,516.78
  6. Step 6: Final answer
    x = 2,739.10

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.