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Finding the Third Proportional to 26,551 and 40,663.50

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Solution

The third proportional to 26,551 and 40,663.50 is: 62,277.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,551 : 40,663.50 = 40,663.50 : x
  2. Step 2: Convert to fraction form
    26,551/40,663.50 = 40,663.50/x
  3. Step 3: Cross multiply
    26,551x = 40,663.50 × 40,663.50
  4. Step 4: Simplify right side
    26,551x = 1,653,520,232.25
  5. Step 5: Solve for x
    x = 1,653,520,232.25/26,551
  6. Step 6: Final answer
    x = 62,277.14

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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.