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Finding the Third Proportional to 9,734.63 and 14,794.31

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Solution

The third proportional to 9,734.63 and 14,794.31 is: 22,483.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,734.63 : 14,794.31 = 14,794.31 : x
  2. Step 2: Convert to fraction form
    9,734.63/14,794.31 = 14,794.31/x
  3. Step 3: Cross multiply
    9,734.63x = 14,794.31 × 14,794.31
  4. Step 4: Simplify right side
    9,734.63x = 218,871,682.35
  5. Step 5: Solve for x
    x = 218,871,682.35/9,734.63
  6. Step 6: Final answer
    x = 22,483.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.