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Finding the Third Proportional to 970.88 and 2,077.80

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Solution

The third proportional to 970.88 and 2,077.80 is: 4,446.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.88 : 2,077.80 = 2,077.80 : x
  2. Step 2: Convert to fraction form
    970.88/2,077.80 = 2,077.80/x
  3. Step 3: Cross multiply
    970.88x = 2,077.80 × 2,077.80
  4. Step 4: Simplify right side
    970.88x = 4,317,272.32
  5. Step 5: Solve for x
    x = 4,317,272.32/970.88
  6. Step 6: Final answer
    x = 4,446.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.