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Finding the Third Proportional to 929.56 and 2,021.13

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Solution

The third proportional to 929.56 and 2,021.13 is: 4,394.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.56 : 2,021.13 = 2,021.13 : x
  2. Step 2: Convert to fraction form
    929.56/2,021.13 = 2,021.13/x
  3. Step 3: Cross multiply
    929.56x = 2,021.13 × 2,021.13
  4. Step 4: Simplify right side
    929.56x = 4,084,946.27
  5. Step 5: Solve for x
    x = 4,084,946.27/929.56
  6. Step 6: Final answer
    x = 4,394.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.