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Finding the Third Proportional to 4,370.25 and 9,341.06

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Solution

The third proportional to 4,370.25 and 9,341.06 is: 19,965.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,370.25 : 9,341.06 = 9,341.06 : x
  2. Step 2: Convert to fraction form
    4,370.25/9,341.06 = 9,341.06/x
  3. Step 3: Cross multiply
    4,370.25x = 9,341.06 × 9,341.06
  4. Step 4: Simplify right side
    4,370.25x = 87,255,448.63
  5. Step 5: Solve for x
    x = 87,255,448.63/4,370.25
  6. Step 6: Final answer
    x = 19,965.78

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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.