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Finding the Third Proportional to 52,962.75 and 77,676.75

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Solution

The third proportional to 52,962.75 and 77,676.75 is: 113,923.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,962.75 : 77,676.75 = 77,676.75 : x
  2. Step 2: Convert to fraction form
    52,962.75/77,676.75 = 77,676.75/x
  3. Step 3: Cross multiply
    52,962.75x = 77,676.75 × 77,676.75
  4. Step 4: Simplify right side
    52,962.75x = 6,033,677,490.56
  5. Step 5: Solve for x
    x = 6,033,677,490.56/52,962.75
  6. Step 6: Final answer
    x = 113,923.04

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.