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Finding the Third Proportional to 3,565.69 and 7,746.19

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Solution

The third proportional to 3,565.69 and 7,746.19 is: 16,828.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,565.69 : 7,746.19 = 7,746.19 : x
  2. Step 2: Convert to fraction form
    3,565.69/7,746.19 = 7,746.19/x
  3. Step 3: Cross multiply
    3,565.69x = 7,746.19 × 7,746.19
  4. Step 4: Simplify right side
    3,565.69x = 60,003,420.79
  5. Step 5: Solve for x
    x = 60,003,420.79/3,565.69
  6. Step 6: Final answer
    x = 16,828.01

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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.