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Finding the Third Proportional to 910.83 and 1,359.91

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Solution

The third proportional to 910.83 and 1,359.91 is: 2,030.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.83 : 1,359.91 = 1,359.91 : x
  2. Step 2: Convert to fraction form
    910.83/1,359.91 = 1,359.91/x
  3. Step 3: Cross multiply
    910.83x = 1,359.91 × 1,359.91
  4. Step 4: Simplify right side
    910.83x = 1,849,366.26
  5. Step 5: Solve for x
    x = 1,849,366.26/910.83
  6. Step 6: Final answer
    x = 2,030.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.