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Finding the Third Proportional to 6,881.63 and 11,437.88

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Solution

The third proportional to 6,881.63 and 11,437.88 is: 19,010.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,881.63 : 11,437.88 = 11,437.88 : x
  2. Step 2: Convert to fraction form
    6,881.63/11,437.88 = 11,437.88/x
  3. Step 3: Cross multiply
    6,881.63x = 11,437.88 × 11,437.88
  4. Step 4: Simplify right side
    6,881.63x = 130,824,984.52
  5. Step 5: Solve for x
    x = 130,824,984.52/6,881.63
  6. Step 6: Final answer
    x = 19,010.77

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These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.