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Finding the Third Proportional to 4,689.14 and 10,026.28

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Solution

The third proportional to 4,689.14 and 10,026.28 is: 21,438.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,689.14 : 10,026.28 = 10,026.28 : x
  2. Step 2: Convert to fraction form
    4,689.14/10,026.28 = 10,026.28/x
  3. Step 3: Cross multiply
    4,689.14x = 10,026.28 × 10,026.28
  4. Step 4: Simplify right side
    4,689.14x = 100,526,315.70
  5. Step 5: Solve for x
    x = 100,526,315.70/4,689.14
  6. Step 6: Final answer
    x = 21,438.11

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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.