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Finding the Third Proportional to 31,572 and 49,254

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Solution

The third proportional to 31,572 and 49,254 is: 76,838.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,572 : 49,254 = 49,254 : x
  2. Step 2: Convert to fraction form
    31,572/49,254 = 49,254/x
  3. Step 3: Cross multiply
    31,572x = 49,254 × 49,254
  4. Step 4: Simplify right side
    31,572x = 2,425,956,516
  5. Step 5: Solve for x
    x = 2,425,956,516/31,572
  6. Step 6: Final answer
    x = 76,838.86

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.