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Finding the Third Proportional to 782.02 and 1,700.16

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Solution

The third proportional to 782.02 and 1,700.16 is: 3,696.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.02 : 1,700.16 = 1,700.16 : x
  2. Step 2: Convert to fraction form
    782.02/1,700.16 = 1,700.16/x
  3. Step 3: Cross multiply
    782.02x = 1,700.16 × 1,700.16
  4. Step 4: Simplify right side
    782.02x = 2,890,531.27
  5. Step 5: Solve for x
    x = 2,890,531.27/782.02
  6. Step 6: Final answer
    x = 3,696.26

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.