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Finding the Third Proportional to 38,970 and 56,997

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Solution

The third proportional to 38,970 and 56,997 is: 83,363.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,970 : 56,997 = 56,997 : x
  2. Step 2: Convert to fraction form
    38,970/56,997 = 56,997/x
  3. Step 3: Cross multiply
    38,970x = 56,997 × 56,997
  4. Step 4: Simplify right side
    38,970x = 3,248,658,009
  5. Step 5: Solve for x
    x = 3,248,658,009/38,970
  6. Step 6: Final answer
    x = 83,363.05

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.