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Finding the Third Proportional to 29,017 and 39,148

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Solution

The third proportional to 29,017 and 39,148 is: 52,816.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,017 : 39,148 = 39,148 : x
  2. Step 2: Convert to fraction form
    29,017/39,148 = 39,148/x
  3. Step 3: Cross multiply
    29,017x = 39,148 × 39,148
  4. Step 4: Simplify right side
    29,017x = 1,532,565,904
  5. Step 5: Solve for x
    x = 1,532,565,904/29,017
  6. Step 6: Final answer
    x = 52,816.14

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.