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Finding the Third Proportional to 968.84 and 2,061.07

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Solution

The third proportional to 968.84 and 2,061.07 is: 4,384.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.84 : 2,061.07 = 2,061.07 : x
  2. Step 2: Convert to fraction form
    968.84/2,061.07 = 2,061.07/x
  3. Step 3: Cross multiply
    968.84x = 2,061.07 × 2,061.07
  4. Step 4: Simplify right side
    968.84x = 4,248,010.83
  5. Step 5: Solve for x
    x = 4,248,010.83/968.84
  6. Step 6: Final answer
    x = 4,384.65

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.