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Finding the Third Proportional to 26,163 and 40,297.50

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Solution

The third proportional to 26,163 and 40,297.50 is: 62,068.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,163 : 40,297.50 = 40,297.50 : x
  2. Step 2: Convert to fraction form
    26,163/40,297.50 = 40,297.50/x
  3. Step 3: Cross multiply
    26,163x = 40,297.50 × 40,297.50
  4. Step 4: Simplify right side
    26,163x = 1,623,888,506.25
  5. Step 5: Solve for x
    x = 1,623,888,506.25/26,163
  6. Step 6: Final answer
    x = 62,068.13

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.