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Finding the Third Proportional to 1,929.23 and 2,882.46

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Solution

The third proportional to 1,929.23 and 2,882.46 is: 4,306.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,929.23 : 2,882.46 = 2,882.46 : x
  2. Step 2: Convert to fraction form
    1,929.23/2,882.46 = 2,882.46/x
  3. Step 3: Cross multiply
    1,929.23x = 2,882.46 × 2,882.46
  4. Step 4: Simplify right side
    1,929.23x = 8,308,581.06
  5. Step 5: Solve for x
    x = 8,308,581.06/1,929.23
  6. Step 6: Final answer
    x = 4,306.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.