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Finding the Third Proportional to 26,220 and 39,322.50

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Solution

The third proportional to 26,220 and 39,322.50 is: 58,972.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,220 : 39,322.50 = 39,322.50 : x
  2. Step 2: Convert to fraction form
    26,220/39,322.50 = 39,322.50/x
  3. Step 3: Cross multiply
    26,220x = 39,322.50 × 39,322.50
  4. Step 4: Simplify right side
    26,220x = 1,546,259,006.25
  5. Step 5: Solve for x
    x = 1,546,259,006.25/26,220
  6. Step 6: Final answer
    x = 58,972.50

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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.