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Finding the Third Proportional to 9,705 and 13,734.75

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Solution

The third proportional to 9,705 and 13,734.75 is: 19,437.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,705 : 13,734.75 = 13,734.75 : x
  2. Step 2: Convert to fraction form
    9,705/13,734.75 = 13,734.75/x
  3. Step 3: Cross multiply
    9,705x = 13,734.75 × 13,734.75
  4. Step 4: Simplify right side
    9,705x = 188,643,357.56
  5. Step 5: Solve for x
    x = 188,643,357.56/9,705
  6. Step 6: Final answer
    x = 19,437.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.