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Finding the Third Proportional to 15,410 and 22,022

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Solution

The third proportional to 15,410 and 22,022 is: 31,471.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,410 : 22,022 = 22,022 : x
  2. Step 2: Convert to fraction form
    15,410/22,022 = 22,022/x
  3. Step 3: Cross multiply
    15,410x = 22,022 × 22,022
  4. Step 4: Simplify right side
    15,410x = 484,968,484
  5. Step 5: Solve for x
    x = 484,968,484/15,410
  6. Step 6: Final answer
    x = 31,471.02

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.