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Finding the Third Proportional to 2,507.63 and 5,402.53

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Solution

The third proportional to 2,507.63 and 5,402.53 is: 11,639.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,507.63 : 5,402.53 = 5,402.53 : x
  2. Step 2: Convert to fraction form
    2,507.63/5,402.53 = 5,402.53/x
  3. Step 3: Cross multiply
    2,507.63x = 5,402.53 × 5,402.53
  4. Step 4: Simplify right side
    2,507.63x = 29,187,343.91
  5. Step 5: Solve for x
    x = 29,187,343.91/2,507.63
  6. Step 6: Final answer
    x = 11,639.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.