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Finding the Third Proportional to 26,746.13 and 40,225.88

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Solution

The third proportional to 26,746.13 and 40,225.88 is: 60,499.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,746.13 : 40,225.88 = 40,225.88 : x
  2. Step 2: Convert to fraction form
    26,746.13/40,225.88 = 40,225.88/x
  3. Step 3: Cross multiply
    26,746.13x = 40,225.88 × 40,225.88
  4. Step 4: Simplify right side
    26,746.13x = 1,618,121,019.52
  5. Step 5: Solve for x
    x = 1,618,121,019.52/26,746.13
  6. Step 6: Final answer
    x = 60,499.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.