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Finding the Third Proportional to 6,677 and 15,457

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Solution

The third proportional to 6,677 and 15,457 is: 35,782.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,677 : 15,457 = 15,457 : x
  2. Step 2: Convert to fraction form
    6,677/15,457 = 15,457/x
  3. Step 3: Cross multiply
    6,677x = 15,457 × 15,457
  4. Step 4: Simplify right side
    6,677x = 238,918,849
  5. Step 5: Solve for x
    x = 238,918,849/6,677
  6. Step 6: Final answer
    x = 35,782.36

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.