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Finding the Third Proportional to 6,590.75 and 15,557.75

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Solution

The third proportional to 6,590.75 and 15,557.75 is: 36,724.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,590.75 : 15,557.75 = 15,557.75 : x
  2. Step 2: Convert to fraction form
    6,590.75/15,557.75 = 15,557.75/x
  3. Step 3: Cross multiply
    6,590.75x = 15,557.75 × 15,557.75
  4. Step 4: Simplify right side
    6,590.75x = 242,043,585.06
  5. Step 5: Solve for x
    x = 242,043,585.06/6,590.75
  6. Step 6: Final answer
    x = 36,724.74

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.