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Finding the Third Proportional to 24,933 and 53,829.50

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Solution

The third proportional to 24,933 and 53,829.50 is: 116,216.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,933 : 53,829.50 = 53,829.50 : x
  2. Step 2: Convert to fraction form
    24,933/53,829.50 = 53,829.50/x
  3. Step 3: Cross multiply
    24,933x = 53,829.50 × 53,829.50
  4. Step 4: Simplify right side
    24,933x = 2,897,615,070.25
  5. Step 5: Solve for x
    x = 2,897,615,070.25/24,933
  6. Step 6: Final answer
    x = 116,216.06

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.