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Finding the Third Proportional to 6,437.16 and 13,566.28

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Solution

The third proportional to 6,437.16 and 13,566.28 is: 28,590.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,437.16 : 13,566.28 = 13,566.28 : x
  2. Step 2: Convert to fraction form
    6,437.16/13,566.28 = 13,566.28/x
  3. Step 3: Cross multiply
    6,437.16x = 13,566.28 × 13,566.28
  4. Step 4: Simplify right side
    6,437.16x = 184,043,986.95
  5. Step 5: Solve for x
    x = 184,043,986.95/6,437.16
  6. Step 6: Final answer
    x = 28,590.88

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.