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Finding the Third Proportional to 4,262.25 and 9,116.63

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Solution

The third proportional to 4,262.25 and 9,116.63 is: 19,499.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,262.25 : 9,116.63 = 9,116.63 : x
  2. Step 2: Convert to fraction form
    4,262.25/9,116.63 = 9,116.63/x
  3. Step 3: Cross multiply
    4,262.25x = 9,116.63 × 9,116.63
  4. Step 4: Simplify right side
    4,262.25x = 83,112,851.39
  5. Step 5: Solve for x
    x = 83,112,851.39/4,262.25
  6. Step 6: Final answer
    x = 19,499.76

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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.