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Finding the Third Proportional to 7,705.49 and 16,838.19

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Solution

The third proportional to 7,705.49 and 16,838.19 is: 36,795.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,705.49 : 16,838.19 = 16,838.19 : x
  2. Step 2: Convert to fraction form
    7,705.49/16,838.19 = 16,838.19/x
  3. Step 3: Cross multiply
    7,705.49x = 16,838.19 × 16,838.19
  4. Step 4: Simplify right side
    7,705.49x = 283,524,689.83
  5. Step 5: Solve for x
    x = 283,524,689.83/7,705.49
  6. Step 6: Final answer
    x = 36,795.15

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.