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Finding the Third Proportional to 765.07 and 1,657.34

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Solution

The third proportional to 765.07 and 1,657.34 is: 3,590.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.07 : 1,657.34 = 1,657.34 : x
  2. Step 2: Convert to fraction form
    765.07/1,657.34 = 1,657.34/x
  3. Step 3: Cross multiply
    765.07x = 1,657.34 × 1,657.34
  4. Step 4: Simplify right side
    765.07x = 2,746,762.41
  5. Step 5: Solve for x
    x = 2,746,762.41/765.07
  6. Step 6: Final answer
    x = 3,590.21

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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.