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Finding the Third Proportional to 57,968 and 77,646

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Solution

The third proportional to 57,968 and 77,646 is: 104,003.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,968 : 77,646 = 77,646 : x
  2. Step 2: Convert to fraction form
    57,968/77,646 = 77,646/x
  3. Step 3: Cross multiply
    57,968x = 77,646 × 77,646
  4. Step 4: Simplify right side
    57,968x = 6,028,901,316
  5. Step 5: Solve for x
    x = 6,028,901,316/57,968
  6. Step 6: Final answer
    x = 104,003.96

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.