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Finding the Third Proportional to 26,501.24 and 40,982.04

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Solution

The third proportional to 26,501.24 and 40,982.04 is: 63,375.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,501.24 : 40,982.04 = 40,982.04 : x
  2. Step 2: Convert to fraction form
    26,501.24/40,982.04 = 40,982.04/x
  3. Step 3: Cross multiply
    26,501.24x = 40,982.04 × 40,982.04
  4. Step 4: Simplify right side
    26,501.24x = 1,679,528,005.98
  5. Step 5: Solve for x
    x = 1,679,528,005.98/26,501.24
  6. Step 6: Final answer
    x = 63,375.45

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.