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Finding the Third Proportional to 810.16 and 1,735.65

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Solution

The third proportional to 810.16 and 1,735.65 is: 3,718.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.16 : 1,735.65 = 1,735.65 : x
  2. Step 2: Convert to fraction form
    810.16/1,735.65 = 1,735.65/x
  3. Step 3: Cross multiply
    810.16x = 1,735.65 × 1,735.65
  4. Step 4: Simplify right side
    810.16x = 3,012,468.72
  5. Step 5: Solve for x
    x = 3,012,468.72/810.16
  6. Step 6: Final answer
    x = 3,718.37

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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.