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Finding the Third Proportional to 16,524 and 34,159.50

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Solution

The third proportional to 16,524 and 34,159.50 is: 70,616.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,524 : 34,159.50 = 34,159.50 : x
  2. Step 2: Convert to fraction form
    16,524/34,159.50 = 34,159.50/x
  3. Step 3: Cross multiply
    16,524x = 34,159.50 × 34,159.50
  4. Step 4: Simplify right side
    16,524x = 1,166,871,440.25
  5. Step 5: Solve for x
    x = 1,166,871,440.25/16,524
  6. Step 6: Final answer
    x = 70,616.77

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.