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Finding the Third Proportional to 24,107.25 and 51,913.50

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Solution

The third proportional to 24,107.25 and 51,913.50 is: 111,792.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,107.25 : 51,913.50 = 51,913.50 : x
  2. Step 2: Convert to fraction form
    24,107.25/51,913.50 = 51,913.50/x
  3. Step 3: Cross multiply
    24,107.25x = 51,913.50 × 51,913.50
  4. Step 4: Simplify right side
    24,107.25x = 2,695,011,482.25
  5. Step 5: Solve for x
    x = 2,695,011,482.25/24,107.25
  6. Step 6: Final answer
    x = 111,792.57

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.