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Finding the Third Proportional to 17,624.25 and 27,506.25

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Solution

The third proportional to 17,624.25 and 27,506.25 is: 42,929.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,624.25 : 27,506.25 = 27,506.25 : x
  2. Step 2: Convert to fraction form
    17,624.25/27,506.25 = 27,506.25/x
  3. Step 3: Cross multiply
    17,624.25x = 27,506.25 × 27,506.25
  4. Step 4: Simplify right side
    17,624.25x = 756,593,789.06
  5. Step 5: Solve for x
    x = 756,593,789.06/17,624.25
  6. Step 6: Final answer
    x = 42,929.13

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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.