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Finding the Third Proportional to 24,102 and 35,047

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Solution

The third proportional to 24,102 and 35,047 is: 50,962.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,102 : 35,047 = 35,047 : x
  2. Step 2: Convert to fraction form
    24,102/35,047 = 35,047/x
  3. Step 3: Cross multiply
    24,102x = 35,047 × 35,047
  4. Step 4: Simplify right side
    24,102x = 1,228,292,209
  5. Step 5: Solve for x
    x = 1,228,292,209/24,102
  6. Step 6: Final answer
    x = 50,962.25

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.