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Finding the Third Proportional to 7,637 and 16,178.50

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Solution

The third proportional to 7,637 and 16,178.50 is: 34,273.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,637 : 16,178.50 = 16,178.50 : x
  2. Step 2: Convert to fraction form
    7,637/16,178.50 = 16,178.50/x
  3. Step 3: Cross multiply
    7,637x = 16,178.50 × 16,178.50
  4. Step 4: Simplify right side
    7,637x = 261,743,862.25
  5. Step 5: Solve for x
    x = 261,743,862.25/7,637
  6. Step 6: Final answer
    x = 34,273.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.