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Finding the Third Proportional to 9,219.38 and 14,189.63

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Solution

The third proportional to 9,219.38 and 14,189.63 is: 21,839.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,219.38 : 14,189.63 = 14,189.63 : x
  2. Step 2: Convert to fraction form
    9,219.38/14,189.63 = 14,189.63/x
  3. Step 3: Cross multiply
    9,219.38x = 14,189.63 × 14,189.63
  4. Step 4: Simplify right side
    9,219.38x = 201,345,457.64
  5. Step 5: Solve for x
    x = 201,345,457.64/9,219.38
  6. Step 6: Final answer
    x = 21,839.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.