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Finding the Third Proportional to 968.84 and 1,520.02

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Solution

The third proportional to 968.84 and 1,520.02 is: 2,384.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.84 : 1,520.02 = 1,520.02 : x
  2. Step 2: Convert to fraction form
    968.84/1,520.02 = 1,520.02/x
  3. Step 3: Cross multiply
    968.84x = 1,520.02 × 1,520.02
  4. Step 4: Simplify right side
    968.84x = 2,310,447.50
  5. Step 5: Solve for x
    x = 2,310,447.50/968.84
  6. Step 6: Final answer
    x = 2,384.77

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.