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Finding the Third Proportional to 1,869.96 and 2,536.31

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Solution

The third proportional to 1,869.96 and 2,536.31 is: 3,440.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,869.96 : 2,536.31 = 2,536.31 : x
  2. Step 2: Convert to fraction form
    1,869.96/2,536.31 = 2,536.31/x
  3. Step 3: Cross multiply
    1,869.96x = 2,536.31 × 2,536.31
  4. Step 4: Simplify right side
    1,869.96x = 6,432,881.10
  5. Step 5: Solve for x
    x = 6,432,881.10/1,869.96
  6. Step 6: Final answer
    x = 3,440.12

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.