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Finding the Third Proportional to 6,503 and 13,657

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Solution

The third proportional to 6,503 and 13,657 is: 28,681.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,503 : 13,657 = 13,657 : x
  2. Step 2: Convert to fraction form
    6,503/13,657 = 13,657/x
  3. Step 3: Cross multiply
    6,503x = 13,657 × 13,657
  4. Step 4: Simplify right side
    6,503x = 186,513,649
  5. Step 5: Solve for x
    x = 186,513,649/6,503
  6. Step 6: Final answer
    x = 28,681.17

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.