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Finding the Third Proportional to 6,914.11 and 9,328.92

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Solution

The third proportional to 6,914.11 and 9,328.92 is: 12,587.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,914.11 : 9,328.92 = 9,328.92 : x
  2. Step 2: Convert to fraction form
    6,914.11/9,328.92 = 9,328.92/x
  3. Step 3: Cross multiply
    6,914.11x = 9,328.92 × 9,328.92
  4. Step 4: Simplify right side
    6,914.11x = 87,028,783.35
  5. Step 5: Solve for x
    x = 87,028,783.35/6,914.11
  6. Step 6: Final answer
    x = 12,587.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.