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Finding the Third Proportional to 34,668 and 45,527.06

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Solution

The third proportional to 34,668 and 45,527.06 is: 59,787.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,668 : 45,527.06 = 45,527.06 : x
  2. Step 2: Convert to fraction form
    34,668/45,527.06 = 45,527.06/x
  3. Step 3: Cross multiply
    34,668x = 45,527.06 × 45,527.06
  4. Step 4: Simplify right side
    34,668x = 2,072,713,419.88
  5. Step 5: Solve for x
    x = 2,072,713,419.88/34,668
  6. Step 6: Final answer
    x = 59,787.51

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.