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Finding the Third Proportional to 28,989.14 and 38,466.14

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Solution

The third proportional to 28,989.14 and 38,466.14 is: 51,041.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,989.14 : 38,466.14 = 38,466.14 : x
  2. Step 2: Convert to fraction form
    28,989.14/38,466.14 = 38,466.14/x
  3. Step 3: Cross multiply
    28,989.14x = 38,466.14 × 38,466.14
  4. Step 4: Simplify right side
    28,989.14x = 1,479,643,974.58
  5. Step 5: Solve for x
    x = 1,479,643,974.58/28,989.14
  6. Step 6: Final answer
    x = 51,041.32

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.