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Finding the Third Proportional to 38,910 and 56,664

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Solution

The third proportional to 38,910 and 56,664 is: 82,518.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,910 : 56,664 = 56,664 : x
  2. Step 2: Convert to fraction form
    38,910/56,664 = 56,664/x
  3. Step 3: Cross multiply
    38,910x = 56,664 × 56,664
  4. Step 4: Simplify right side
    38,910x = 3,210,808,896
  5. Step 5: Solve for x
    x = 3,210,808,896/38,910
  6. Step 6: Final answer
    x = 82,518.86

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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.