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Finding the Third Proportional to 4,644.84 and 10,126.90

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Solution

The third proportional to 4,644.84 and 10,126.90 is: 22,079.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,644.84 : 10,126.90 = 10,126.90 : x
  2. Step 2: Convert to fraction form
    4,644.84/10,126.90 = 10,126.90/x
  3. Step 3: Cross multiply
    4,644.84x = 10,126.90 × 10,126.90
  4. Step 4: Simplify right side
    4,644.84x = 102,554,071.96
  5. Step 5: Solve for x
    x = 102,554,071.96/4,644.84
  6. Step 6: Final answer
    x = 22,079.12

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.