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Finding the Third Proportional to 26,005.50 and 40,345.25

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Solution

The third proportional to 26,005.50 and 40,345.25 is: 62,592.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,005.50 : 40,345.25 = 40,345.25 : x
  2. Step 2: Convert to fraction form
    26,005.50/40,345.25 = 40,345.25/x
  3. Step 3: Cross multiply
    26,005.50x = 40,345.25 × 40,345.25
  4. Step 4: Simplify right side
    26,005.50x = 1,627,739,197.56
  5. Step 5: Solve for x
    x = 1,627,739,197.56/26,005.50
  6. Step 6: Final answer
    x = 62,592.11

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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.