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Finding the Third Proportional to 3,038.13 and 6,585.05

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Solution

The third proportional to 3,038.13 and 6,585.05 is: 14,272.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,038.13 : 6,585.05 = 6,585.05 : x
  2. Step 2: Convert to fraction form
    3,038.13/6,585.05 = 6,585.05/x
  3. Step 3: Cross multiply
    3,038.13x = 6,585.05 × 6,585.05
  4. Step 4: Simplify right side
    3,038.13x = 43,362,842.35
  5. Step 5: Solve for x
    x = 43,362,842.35/3,038.13
  6. Step 6: Final answer
    x = 14,272.86

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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.