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Finding the Third Proportional to 38,334.50 and 52,788

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Solution

The third proportional to 38,334.50 and 52,788 is: 72,690.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,334.50 : 52,788 = 52,788 : x
  2. Step 2: Convert to fraction form
    38,334.50/52,788 = 52,788/x
  3. Step 3: Cross multiply
    38,334.50x = 52,788 × 52,788
  4. Step 4: Simplify right side
    38,334.50x = 2,786,572,944
  5. Step 5: Solve for x
    x = 2,786,572,944/38,334.50
  6. Step 6: Final answer
    x = 72,690.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.