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Finding the Third Proportional to 2,746.75 and 5,688.19

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Solution

The third proportional to 2,746.75 and 5,688.19 is: 11,779.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,746.75 : 5,688.19 = 5,688.19 : x
  2. Step 2: Convert to fraction form
    2,746.75/5,688.19 = 5,688.19/x
  3. Step 3: Cross multiply
    2,746.75x = 5,688.19 × 5,688.19
  4. Step 4: Simplify right side
    2,746.75x = 32,355,477.04
  5. Step 5: Solve for x
    x = 32,355,477.04/2,746.75
  6. Step 6: Final answer
    x = 11,779.55

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.