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Finding the Third Proportional to 51,607.25 and 79,347

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Solution

The third proportional to 51,607.25 and 79,347 is: 121,997.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,607.25 : 79,347 = 79,347 : x
  2. Step 2: Convert to fraction form
    51,607.25/79,347 = 79,347/x
  3. Step 3: Cross multiply
    51,607.25x = 79,347 × 79,347
  4. Step 4: Simplify right side
    51,607.25x = 6,295,946,409
  5. Step 5: Solve for x
    x = 6,295,946,409/51,607.25
  6. Step 6: Final answer
    x = 121,997.32

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.