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Finding the Third Proportional to 9,352.13 and 14,591.81

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Solution

The third proportional to 9,352.13 and 14,591.81 is: 22,767.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,352.13 : 14,591.81 = 14,591.81 : x
  2. Step 2: Convert to fraction form
    9,352.13/14,591.81 = 14,591.81/x
  3. Step 3: Cross multiply
    9,352.13x = 14,591.81 × 14,591.81
  4. Step 4: Simplify right side
    9,352.13x = 212,920,992.04
  5. Step 5: Solve for x
    x = 212,920,992.04/9,352.13
  6. Step 6: Final answer
    x = 22,767.12

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.