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Finding the Third Proportional to 17,528.63 and 37,548

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Solution

The third proportional to 17,528.63 and 37,548 is: 80,431.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,528.63 : 37,548 = 37,548 : x
  2. Step 2: Convert to fraction form
    17,528.63/37,548 = 37,548/x
  3. Step 3: Cross multiply
    17,528.63x = 37,548 × 37,548
  4. Step 4: Simplify right side
    17,528.63x = 1,409,852,304
  5. Step 5: Solve for x
    x = 1,409,852,304/17,528.63
  6. Step 6: Final answer
    x = 80,431.43

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.