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Finding the Third Proportional to 968.56 and 1,459.78

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Solution

The third proportional to 968.56 and 1,459.78 is: 2,200.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.56 : 1,459.78 = 1,459.78 : x
  2. Step 2: Convert to fraction form
    968.56/1,459.78 = 1,459.78/x
  3. Step 3: Cross multiply
    968.56x = 1,459.78 × 1,459.78
  4. Step 4: Simplify right side
    968.56x = 2,130,957.02
  5. Step 5: Solve for x
    x = 2,130,957.02/968.56
  6. Step 6: Final answer
    x = 2,200.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.