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Finding the Third Proportional to 22,953 and 49,254

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Solution

The third proportional to 22,953 and 49,254 is: 105,692.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,953 : 49,254 = 49,254 : x
  2. Step 2: Convert to fraction form
    22,953/49,254 = 49,254/x
  3. Step 3: Cross multiply
    22,953x = 49,254 × 49,254
  4. Step 4: Simplify right side
    22,953x = 2,425,956,516
  5. Step 5: Solve for x
    x = 2,425,956,516/22,953
  6. Step 6: Final answer
    x = 105,692.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.