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Finding the Third Proportional to 24,069 and 52,148

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Solution

The third proportional to 24,069 and 52,148 is: 112,984.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,069 : 52,148 = 52,148 : x
  2. Step 2: Convert to fraction form
    24,069/52,148 = 52,148/x
  3. Step 3: Cross multiply
    24,069x = 52,148 × 52,148
  4. Step 4: Simplify right side
    24,069x = 2,719,413,904
  5. Step 5: Solve for x
    x = 2,719,413,904/24,069
  6. Step 6: Final answer
    x = 112,984.08

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.