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Finding the Third Proportional to 982 and 1,526.50

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Solution

The third proportional to 982 and 1,526.50 is: 2,372.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    982 : 1,526.50 = 1,526.50 : x
  2. Step 2: Convert to fraction form
    982/1,526.50 = 1,526.50/x
  3. Step 3: Cross multiply
    982x = 1,526.50 × 1,526.50
  4. Step 4: Simplify right side
    982x = 2,330,202.25
  5. Step 5: Solve for x
    x = 2,330,202.25/982
  6. Step 6: Final answer
    x = 2,372.91

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.