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Finding the Third Proportional to 29,754 and 49,015

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Solution

The third proportional to 29,754 and 49,015 is: 80,744.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,754 : 49,015 = 49,015 : x
  2. Step 2: Convert to fraction form
    29,754/49,015 = 49,015/x
  3. Step 3: Cross multiply
    29,754x = 49,015 × 49,015
  4. Step 4: Simplify right side
    29,754x = 2,402,470,225
  5. Step 5: Solve for x
    x = 2,402,470,225/29,754
  6. Step 6: Final answer
    x = 80,744.45

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.