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Finding the Third Proportional to 10,219.08 and 15,338.95

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Solution

The third proportional to 10,219.08 and 15,338.95 is: 23,023.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,219.08 : 15,338.95 = 15,338.95 : x
  2. Step 2: Convert to fraction form
    10,219.08/15,338.95 = 15,338.95/x
  3. Step 3: Cross multiply
    10,219.08x = 15,338.95 × 15,338.95
  4. Step 4: Simplify right side
    10,219.08x = 235,283,482.97
  5. Step 5: Solve for x
    x = 235,283,482.97/10,219.08
  6. Step 6: Final answer
    x = 23,023.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.