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Finding the Third Proportional to 9,214.17 and 19,742.91

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Solution

The third proportional to 9,214.17 and 19,742.91 is: 42,302.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,214.17 : 19,742.91 = 19,742.91 : x
  2. Step 2: Convert to fraction form
    9,214.17/19,742.91 = 19,742.91/x
  3. Step 3: Cross multiply
    9,214.17x = 19,742.91 × 19,742.91
  4. Step 4: Simplify right side
    9,214.17x = 389,782,347.20
  5. Step 5: Solve for x
    x = 389,782,347.20/9,214.17
  6. Step 6: Final answer
    x = 42,302.48

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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.