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Finding the Third Proportional to 34,638.47 and 74,456.72

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Solution

The third proportional to 34,638.47 and 74,456.72 is: 160,047.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,638.47 : 74,456.72 = 74,456.72 : x
  2. Step 2: Convert to fraction form
    34,638.47/74,456.72 = 74,456.72/x
  3. Step 3: Cross multiply
    34,638.47x = 74,456.72 × 74,456.72
  4. Step 4: Simplify right side
    34,638.47x = 5,543,802,967.02
  5. Step 5: Solve for x
    x = 5,543,802,967.02/34,638.47
  6. Step 6: Final answer
    x = 160,047.58

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.