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Finding the Third Proportional to 26,580 and 39,355.50

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Solution

The third proportional to 26,580 and 39,355.50 is: 58,271.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,580 : 39,355.50 = 39,355.50 : x
  2. Step 2: Convert to fraction form
    26,580/39,355.50 = 39,355.50/x
  3. Step 3: Cross multiply
    26,580x = 39,355.50 × 39,355.50
  4. Step 4: Simplify right side
    26,580x = 1,548,855,380.25
  5. Step 5: Solve for x
    x = 1,548,855,380.25/26,580
  6. Step 6: Final answer
    x = 58,271.46

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.