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Finding the Third Proportional to 21,880.13 and 28,821.38

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Solution

The third proportional to 21,880.13 and 28,821.38 is: 37,964.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,880.13 : 28,821.38 = 28,821.38 : x
  2. Step 2: Convert to fraction form
    21,880.13/28,821.38 = 28,821.38/x
  3. Step 3: Cross multiply
    21,880.13x = 28,821.38 × 28,821.38
  4. Step 4: Simplify right side
    21,880.13x = 830,671,656.89
  5. Step 5: Solve for x
    x = 830,671,656.89/21,880.13
  6. Step 6: Final answer
    x = 37,964.67

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.