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Finding the Third Proportional to 910.69 and 1,957.22

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Solution

The third proportional to 910.69 and 1,957.22 is: 4,206.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.69 : 1,957.22 = 1,957.22 : x
  2. Step 2: Convert to fraction form
    910.69/1,957.22 = 1,957.22/x
  3. Step 3: Cross multiply
    910.69x = 1,957.22 × 1,957.22
  4. Step 4: Simplify right side
    910.69x = 3,830,705.24
  5. Step 5: Solve for x
    x = 3,830,705.24/910.69
  6. Step 6: Final answer
    x = 4,206.39

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.