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Finding the Third Proportional to 24,001 and 53,329.50

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Solution

The third proportional to 24,001 and 53,329.50 is: 118,496.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,001 : 53,329.50 = 53,329.50 : x
  2. Step 2: Convert to fraction form
    24,001/53,329.50 = 53,329.50/x
  3. Step 3: Cross multiply
    24,001x = 53,329.50 × 53,329.50
  4. Step 4: Simplify right side
    24,001x = 2,844,035,570.25
  5. Step 5: Solve for x
    x = 2,844,035,570.25/24,001
  6. Step 6: Final answer
    x = 118,496.54

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.