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Finding the Third Proportional to 6,244.59 and 13,590.84

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Solution

The third proportional to 6,244.59 and 13,590.84 is: 29,579.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,244.59 : 13,590.84 = 13,590.84 : x
  2. Step 2: Convert to fraction form
    6,244.59/13,590.84 = 13,590.84/x
  3. Step 3: Cross multiply
    6,244.59x = 13,590.84 × 13,590.84
  4. Step 4: Simplify right side
    6,244.59x = 184,711,033.84
  5. Step 5: Solve for x
    x = 184,711,033.84/6,244.59
  6. Step 6: Final answer
    x = 29,579.35

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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.