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Finding the Third Proportional to 18,429.19 and 27,798.19

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Solution

The third proportional to 18,429.19 and 27,798.19 is: 41,930.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,429.19 : 27,798.19 = 27,798.19 : x
  2. Step 2: Convert to fraction form
    18,429.19/27,798.19 = 27,798.19/x
  3. Step 3: Cross multiply
    18,429.19x = 27,798.19 × 27,798.19
  4. Step 4: Simplify right side
    18,429.19x = 772,739,228.29
  5. Step 5: Solve for x
    x = 772,739,228.29/18,429.19
  6. Step 6: Final answer
    x = 41,930.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.