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Finding the Third Proportional to 9,331.59 and 14,449.22

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Solution

The third proportional to 9,331.59 and 14,449.22 is: 22,373.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,331.59 : 14,449.22 = 14,449.22 : x
  2. Step 2: Convert to fraction form
    9,331.59/14,449.22 = 14,449.22/x
  3. Step 3: Cross multiply
    9,331.59x = 14,449.22 × 14,449.22
  4. Step 4: Simplify right side
    9,331.59x = 208,779,922.49
  5. Step 5: Solve for x
    x = 208,779,922.49/9,331.59
  6. Step 6: Final answer
    x = 22,373.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.