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Finding the Third Proportional to 6,983 and 9,953

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Solution

The third proportional to 6,983 and 9,953 is: 14,186.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,983 : 9,953 = 9,953 : x
  2. Step 2: Convert to fraction form
    6,983/9,953 = 9,953/x
  3. Step 3: Cross multiply
    6,983x = 9,953 × 9,953
  4. Step 4: Simplify right side
    6,983x = 99,062,209
  5. Step 5: Solve for x
    x = 99,062,209/6,983
  6. Step 6: Final answer
    x = 14,186.20

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.