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Finding the Third Proportional to 10,510 and 19,562

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Solution

The third proportional to 10,510 and 19,562 is: 36,410.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,510 : 19,562 = 19,562 : x
  2. Step 2: Convert to fraction form
    10,510/19,562 = 19,562/x
  3. Step 3: Cross multiply
    10,510x = 19,562 × 19,562
  4. Step 4: Simplify right side
    10,510x = 382,671,844
  5. Step 5: Solve for x
    x = 382,671,844/10,510
  6. Step 6: Final answer
    x = 36,410.26

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.