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Finding the Third Proportional to 35,734.50 and 80,574

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Solution

The third proportional to 35,734.50 and 80,574 is: 181,677.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,734.50 : 80,574 = 80,574 : x
  2. Step 2: Convert to fraction form
    35,734.50/80,574 = 80,574/x
  3. Step 3: Cross multiply
    35,734.50x = 80,574 × 80,574
  4. Step 4: Simplify right side
    35,734.50x = 6,492,169,476
  5. Step 5: Solve for x
    x = 6,492,169,476/35,734.50
  6. Step 6: Final answer
    x = 181,677.92

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.