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Finding the Third Proportional to 6,511 and 15,547

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Solution

The third proportional to 6,511 and 15,547 is: 37,123.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,511 : 15,547 = 15,547 : x
  2. Step 2: Convert to fraction form
    6,511/15,547 = 15,547/x
  3. Step 3: Cross multiply
    6,511x = 15,547 × 15,547
  4. Step 4: Simplify right side
    6,511x = 241,709,209
  5. Step 5: Solve for x
    x = 241,709,209/6,511
  6. Step 6: Final answer
    x = 37,123.21

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.