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Finding the Third Proportional to 32,521.50 and 70,989

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Solution

The third proportional to 32,521.50 and 70,989 is: 154,957.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,521.50 : 70,989 = 70,989 : x
  2. Step 2: Convert to fraction form
    32,521.50/70,989 = 70,989/x
  3. Step 3: Cross multiply
    32,521.50x = 70,989 × 70,989
  4. Step 4: Simplify right side
    32,521.50x = 5,039,438,121
  5. Step 5: Solve for x
    x = 5,039,438,121/32,521.50
  6. Step 6: Final answer
    x = 154,957.12

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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.