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Finding the Third Proportional to 23,464 and 35,076

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Solution

The third proportional to 23,464 and 35,076 is: 52,434.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,464 : 35,076 = 35,076 : x
  2. Step 2: Convert to fraction form
    23,464/35,076 = 35,076/x
  3. Step 3: Cross multiply
    23,464x = 35,076 × 35,076
  4. Step 4: Simplify right side
    23,464x = 1,230,325,776
  5. Step 5: Solve for x
    x = 1,230,325,776/23,464
  6. Step 6: Final answer
    x = 52,434.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.