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Finding the Third Proportional to 42,256.69 and 56,917.69

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Solution

The third proportional to 42,256.69 and 56,917.69 is: 76,665.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,256.69 : 56,917.69 = 56,917.69 : x
  2. Step 2: Convert to fraction form
    42,256.69/56,917.69 = 56,917.69/x
  3. Step 3: Cross multiply
    42,256.69x = 56,917.69 × 56,917.69
  4. Step 4: Simplify right side
    42,256.69x = 3,239,623,150.35
  5. Step 5: Solve for x
    x = 3,239,623,150.35/42,256.69
  6. Step 6: Final answer
    x = 76,665.34

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.