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Finding the Third Proportional to 3,095.09 and 4,657.34

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Solution

The third proportional to 3,095.09 and 4,657.34 is: 7,008.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,095.09 : 4,657.34 = 4,657.34 : x
  2. Step 2: Convert to fraction form
    3,095.09/4,657.34 = 4,657.34/x
  3. Step 3: Cross multiply
    3,095.09x = 4,657.34 × 4,657.34
  4. Step 4: Simplify right side
    3,095.09x = 21,690,832.61
  5. Step 5: Solve for x
    x = 21,690,832.61/3,095.09
  6. Step 6: Final answer
    x = 7,008.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.