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Finding the Third Proportional to 7,710.75 and 16,808.63

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Solution

The third proportional to 7,710.75 and 16,808.63 is: 36,641.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,710.75 : 16,808.63 = 16,808.63 : x
  2. Step 2: Convert to fraction form
    7,710.75/16,808.63 = 16,808.63/x
  3. Step 3: Cross multiply
    7,710.75x = 16,808.63 × 16,808.63
  4. Step 4: Simplify right side
    7,710.75x = 282,529,874.39
  5. Step 5: Solve for x
    x = 282,529,874.39/7,710.75
  6. Step 6: Final answer
    x = 36,641.04

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.