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Finding the Third Proportional to 34,510.50 and 74,458.50

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Solution

The third proportional to 34,510.50 and 74,458.50 is: 160,648.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,510.50 : 74,458.50 = 74,458.50 : x
  2. Step 2: Convert to fraction form
    34,510.50/74,458.50 = 74,458.50/x
  3. Step 3: Cross multiply
    34,510.50x = 74,458.50 × 74,458.50
  4. Step 4: Simplify right side
    34,510.50x = 5,544,068,222.25
  5. Step 5: Solve for x
    x = 5,544,068,222.25/34,510.50
  6. Step 6: Final answer
    x = 160,648.74

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.