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Finding the Third Proportional to 18,788.25 and 26,428.50

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Solution

The third proportional to 18,788.25 and 26,428.50 is: 37,175.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,788.25 : 26,428.50 = 26,428.50 : x
  2. Step 2: Convert to fraction form
    18,788.25/26,428.50 = 26,428.50/x
  3. Step 3: Cross multiply
    18,788.25x = 26,428.50 × 26,428.50
  4. Step 4: Simplify right side
    18,788.25x = 698,465,612.25
  5. Step 5: Solve for x
    x = 698,465,612.25/18,788.25
  6. Step 6: Final answer
    x = 37,175.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.