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Finding the Third Proportional to 23,506 and 36,414

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Solution

The third proportional to 23,506 and 36,414 is: 56,410.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,506 : 36,414 = 36,414 : x
  2. Step 2: Convert to fraction form
    23,506/36,414 = 36,414/x
  3. Step 3: Cross multiply
    23,506x = 36,414 × 36,414
  4. Step 4: Simplify right side
    23,506x = 1,325,979,396
  5. Step 5: Solve for x
    x = 1,325,979,396/23,506
  6. Step 6: Final answer
    x = 56,410.25

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.