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Finding the Third Proportional to 27,743.63 and 42,307.88

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Solution

The third proportional to 27,743.63 and 42,307.88 is: 64,517.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,743.63 : 42,307.88 = 42,307.88 : x
  2. Step 2: Convert to fraction form
    27,743.63/42,307.88 = 42,307.88/x
  3. Step 3: Cross multiply
    27,743.63x = 42,307.88 × 42,307.88
  4. Step 4: Simplify right side
    27,743.63x = 1,789,956,287.02
  5. Step 5: Solve for x
    x = 1,789,956,287.02/27,743.63
  6. Step 6: Final answer
    x = 64,517.75

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.