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Finding the Third Proportional to 24,148 and 53,832

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Solution

The third proportional to 24,148 and 53,832 is: 120,005.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,148 : 53,832 = 53,832 : x
  2. Step 2: Convert to fraction form
    24,148/53,832 = 53,832/x
  3. Step 3: Cross multiply
    24,148x = 53,832 × 53,832
  4. Step 4: Simplify right side
    24,148x = 2,897,884,224
  5. Step 5: Solve for x
    x = 2,897,884,224/24,148
  6. Step 6: Final answer
    x = 120,005.14

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.