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Finding the Third Proportional to 34,528.78 and 75,497.06

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Solution

The third proportional to 34,528.78 and 75,497.06 is: 165,074.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,528.78 : 75,497.06 = 75,497.06 : x
  2. Step 2: Convert to fraction form
    34,528.78/75,497.06 = 75,497.06/x
  3. Step 3: Cross multiply
    34,528.78x = 75,497.06 × 75,497.06
  4. Step 4: Simplify right side
    34,528.78x = 5,699,806,446.13
  5. Step 5: Solve for x
    x = 5,699,806,446.13/34,528.78
  6. Step 6: Final answer
    x = 165,074.07

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.