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Finding the Third Proportional to 24,669 and 54,256.50

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Solution

The third proportional to 24,669 and 54,256.50 is: 119,330.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,669 : 54,256.50 = 54,256.50 : x
  2. Step 2: Convert to fraction form
    24,669/54,256.50 = 54,256.50/x
  3. Step 3: Cross multiply
    24,669x = 54,256.50 × 54,256.50
  4. Step 4: Simplify right side
    24,669x = 2,943,767,792.25
  5. Step 5: Solve for x
    x = 2,943,767,792.25/24,669
  6. Step 6: Final answer
    x = 119,330.65

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.