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Finding the Third Proportional to 6,159.06 and 12,755.63

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Solution

The third proportional to 6,159.06 and 12,755.63 is: 26,417.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,159.06 : 12,755.63 = 12,755.63 : x
  2. Step 2: Convert to fraction form
    6,159.06/12,755.63 = 12,755.63/x
  3. Step 3: Cross multiply
    6,159.06x = 12,755.63 × 12,755.63
  4. Step 4: Simplify right side
    6,159.06x = 162,705,969.14
  5. Step 5: Solve for x
    x = 162,705,969.14/6,159.06
  6. Step 6: Final answer
    x = 26,417.33

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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.