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Finding the Third Proportional to 26,369 and 40,337.50

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Solution

The third proportional to 26,369 and 40,337.50 is: 61,705.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,369 : 40,337.50 = 40,337.50 : x
  2. Step 2: Convert to fraction form
    26,369/40,337.50 = 40,337.50/x
  3. Step 3: Cross multiply
    26,369x = 40,337.50 × 40,337.50
  4. Step 4: Simplify right side
    26,369x = 1,627,113,906.25
  5. Step 5: Solve for x
    x = 1,627,113,906.25/26,369
  6. Step 6: Final answer
    x = 61,705.56

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.