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Finding the Third Proportional to 9,015.47 and 19,618.24

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Solution

The third proportional to 9,015.47 and 19,618.24 is: 42,690.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,015.47 : 19,618.24 = 19,618.24 : x
  2. Step 2: Convert to fraction form
    9,015.47/19,618.24 = 19,618.24/x
  3. Step 3: Cross multiply
    9,015.47x = 19,618.24 × 19,618.24
  4. Step 4: Simplify right side
    9,015.47x = 384,875,426.53
  5. Step 5: Solve for x
    x = 384,875,426.53/9,015.47
  6. Step 6: Final answer
    x = 42,690.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.