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Finding the Third Proportional to 19,749.25 and 42,278

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Solution

The third proportional to 19,749.25 and 42,278 is: 90,506.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,749.25 : 42,278 = 42,278 : x
  2. Step 2: Convert to fraction form
    19,749.25/42,278 = 42,278/x
  3. Step 3: Cross multiply
    19,749.25x = 42,278 × 42,278
  4. Step 4: Simplify right side
    19,749.25x = 1,787,429,284
  5. Step 5: Solve for x
    x = 1,787,429,284/19,749.25
  6. Step 6: Final answer
    x = 90,506.19

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.