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Finding the Third Proportional to 26,090 and 39,254.50

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Solution

The third proportional to 26,090 and 39,254.50 is: 59,061.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,090 : 39,254.50 = 39,254.50 : x
  2. Step 2: Convert to fraction form
    26,090/39,254.50 = 39,254.50/x
  3. Step 3: Cross multiply
    26,090x = 39,254.50 × 39,254.50
  4. Step 4: Simplify right side
    26,090x = 1,540,915,770.25
  5. Step 5: Solve for x
    x = 1,540,915,770.25/26,090
  6. Step 6: Final answer
    x = 59,061.55

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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.