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Finding the Third Proportional to 34,692 and 49,574

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Solution

The third proportional to 34,692 and 49,574 is: 70,840.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,692 : 49,574 = 49,574 : x
  2. Step 2: Convert to fraction form
    34,692/49,574 = 49,574/x
  3. Step 3: Cross multiply
    34,692x = 49,574 × 49,574
  4. Step 4: Simplify right side
    34,692x = 2,457,581,476
  5. Step 5: Solve for x
    x = 2,457,581,476/34,692
  6. Step 6: Final answer
    x = 70,840.01

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.