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Finding the Third Proportional to 32,926.50 and 72,970.50

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Solution

The third proportional to 32,926.50 and 72,970.50 is: 161,714.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,926.50 : 72,970.50 = 72,970.50 : x
  2. Step 2: Convert to fraction form
    32,926.50/72,970.50 = 72,970.50/x
  3. Step 3: Cross multiply
    32,926.50x = 72,970.50 × 72,970.50
  4. Step 4: Simplify right side
    32,926.50x = 5,324,693,870.25
  5. Step 5: Solve for x
    x = 5,324,693,870.25/32,926.50
  6. Step 6: Final answer
    x = 161,714.54

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.