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Finding the Third Proportional to 26,019 and 40,297.50

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Solution

The third proportional to 26,019 and 40,297.50 is: 62,411.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,019 : 40,297.50 = 40,297.50 : x
  2. Step 2: Convert to fraction form
    26,019/40,297.50 = 40,297.50/x
  3. Step 3: Cross multiply
    26,019x = 40,297.50 × 40,297.50
  4. Step 4: Simplify right side
    26,019x = 1,623,888,506.25
  5. Step 5: Solve for x
    x = 1,623,888,506.25/26,019
  6. Step 6: Final answer
    x = 62,411.64

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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.