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Finding the Third Proportional to 3,005.86 and 6,595.17

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Solution

The third proportional to 3,005.86 and 6,595.17 is: 14,470.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,005.86 : 6,595.17 = 6,595.17 : x
  2. Step 2: Convert to fraction form
    3,005.86/6,595.17 = 6,595.17/x
  3. Step 3: Cross multiply
    3,005.86x = 6,595.17 × 6,595.17
  4. Step 4: Simplify right side
    3,005.86x = 43,496,292.06
  5. Step 5: Solve for x
    x = 43,496,292.06/3,005.86
  6. Step 6: Final answer
    x = 14,470.50

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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.