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Finding the Third Proportional to 10,411.03 and 15,464.67

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Solution

The third proportional to 10,411.03 and 15,464.67 is: 22,971.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,411.03 : 15,464.67 = 15,464.67 : x
  2. Step 2: Convert to fraction form
    10,411.03/15,464.67 = 15,464.67/x
  3. Step 3: Cross multiply
    10,411.03x = 15,464.67 × 15,464.67
  4. Step 4: Simplify right side
    10,411.03x = 239,156,076.20
  5. Step 5: Solve for x
    x = 239,156,076.20/10,411.03
  6. Step 6: Final answer
    x = 22,971.41

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.