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Finding the Third Proportional to 10,511 and 21,547

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Solution

The third proportional to 10,511 and 21,547 is: 44,170.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,511 : 21,547 = 21,547 : x
  2. Step 2: Convert to fraction form
    10,511/21,547 = 21,547/x
  3. Step 3: Cross multiply
    10,511x = 21,547 × 21,547
  4. Step 4: Simplify right side
    10,511x = 464,273,209
  5. Step 5: Solve for x
    x = 464,273,209/10,511
  6. Step 6: Final answer
    x = 44,170.22

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.