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Finding the Third Proportional to 23,865 and 36,426

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Solution

The third proportional to 23,865 and 36,426 is: 55,598.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,865 : 36,426 = 36,426 : x
  2. Step 2: Convert to fraction form
    23,865/36,426 = 36,426/x
  3. Step 3: Cross multiply
    23,865x = 36,426 × 36,426
  4. Step 4: Simplify right side
    23,865x = 1,326,853,476
  5. Step 5: Solve for x
    x = 1,326,853,476/23,865
  6. Step 6: Final answer
    x = 55,598.30

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.