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Finding the Third Proportional to 17,870.63 and 27,286.88

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Solution

The third proportional to 17,870.63 and 27,286.88 is: 41,664.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,870.63 : 27,286.88 = 27,286.88 : x
  2. Step 2: Convert to fraction form
    17,870.63/27,286.88 = 27,286.88/x
  3. Step 3: Cross multiply
    17,870.63x = 27,286.88 × 27,286.88
  4. Step 4: Simplify right side
    17,870.63x = 744,573,547.27
  5. Step 5: Solve for x
    x = 744,573,547.27/17,870.63
  6. Step 6: Final answer
    x = 41,664.66

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.