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Finding the Third Proportional to 34,232.63 and 74,722.50

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Solution

The third proportional to 34,232.63 and 74,722.50 is: 163,103.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,232.63 : 74,722.50 = 74,722.50 : x
  2. Step 2: Convert to fraction form
    34,232.63/74,722.50 = 74,722.50/x
  3. Step 3: Cross multiply
    34,232.63x = 74,722.50 × 74,722.50
  4. Step 4: Simplify right side
    34,232.63x = 5,583,452,006.25
  5. Step 5: Solve for x
    x = 5,583,452,006.25/34,232.63
  6. Step 6: Final answer
    x = 163,103.24

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.