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Finding the Third Proportional to 16,776 and 34,931.25

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Solution

The third proportional to 16,776 and 34,931.25 is: 72,734.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,776 : 34,931.25 = 34,931.25 : x
  2. Step 2: Convert to fraction form
    16,776/34,931.25 = 34,931.25/x
  3. Step 3: Cross multiply
    16,776x = 34,931.25 × 34,931.25
  4. Step 4: Simplify right side
    16,776x = 1,220,192,226.56
  5. Step 5: Solve for x
    x = 1,220,192,226.56/16,776
  6. Step 6: Final answer
    x = 72,734.40

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.