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Finding the Third Proportional to 970.88 and 2,269.69

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Solution

The third proportional to 970.88 and 2,269.69 is: 5,306.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.88 : 2,269.69 = 2,269.69 : x
  2. Step 2: Convert to fraction form
    970.88/2,269.69 = 2,269.69/x
  3. Step 3: Cross multiply
    970.88x = 2,269.69 × 2,269.69
  4. Step 4: Simplify right side
    970.88x = 5,151,481.35
  5. Step 5: Solve for x
    x = 5,151,481.35/970.88
  6. Step 6: Final answer
    x = 5,306.02

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.