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Finding the Third Proportional to 38,420 and 56,746

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Solution

The third proportional to 38,420 and 56,746 is: 83,813.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,420 : 56,746 = 56,746 : x
  2. Step 2: Convert to fraction form
    38,420/56,746 = 56,746/x
  3. Step 3: Cross multiply
    38,420x = 56,746 × 56,746
  4. Step 4: Simplify right side
    38,420x = 3,220,108,516
  5. Step 5: Solve for x
    x = 3,220,108,516/38,420
  6. Step 6: Final answer
    x = 83,813.34

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.