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Finding the Third Proportional to 23,051 and 35,414

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Solution

The third proportional to 23,051 and 35,414 is: 54,407.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,051 : 35,414 = 35,414 : x
  2. Step 2: Convert to fraction form
    23,051/35,414 = 35,414/x
  3. Step 3: Cross multiply
    23,051x = 35,414 × 35,414
  4. Step 4: Simplify right side
    23,051x = 1,254,151,396
  5. Step 5: Solve for x
    x = 1,254,151,396/23,051
  6. Step 6: Final answer
    x = 54,407.68

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.