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Finding the Third Proportional to 13,734 and 16,710.75

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Solution

The third proportional to 13,734 and 16,710.75 is: 20,332.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,734 : 16,710.75 = 16,710.75 : x
  2. Step 2: Convert to fraction form
    13,734/16,710.75 = 16,710.75/x
  3. Step 3: Cross multiply
    13,734x = 16,710.75 × 16,710.75
  4. Step 4: Simplify right side
    13,734x = 279,249,165.56
  5. Step 5: Solve for x
    x = 279,249,165.56/13,734
  6. Step 6: Final answer
    x = 20,332.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.