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Finding the Third Proportional to 26,098.50 and 48,004.50

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Solution

The third proportional to 26,098.50 and 48,004.50 is: 88,297.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,098.50 : 48,004.50 = 48,004.50 : x
  2. Step 2: Convert to fraction form
    26,098.50/48,004.50 = 48,004.50/x
  3. Step 3: Cross multiply
    26,098.50x = 48,004.50 × 48,004.50
  4. Step 4: Simplify right side
    26,098.50x = 2,304,432,020.25
  5. Step 5: Solve for x
    x = 2,304,432,020.25/26,098.50
  6. Step 6: Final answer
    x = 88,297.49

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.