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Finding the Third Proportional to 19,510 and 29,441

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Solution

The third proportional to 19,510 and 29,441 is: 44,427.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,510 : 29,441 = 29,441 : x
  2. Step 2: Convert to fraction form
    19,510/29,441 = 29,441/x
  3. Step 3: Cross multiply
    19,510x = 29,441 × 29,441
  4. Step 4: Simplify right side
    19,510x = 866,772,481
  5. Step 5: Solve for x
    x = 866,772,481/19,510
  6. Step 6: Final answer
    x = 44,427.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.