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Finding the Third Proportional to 27,423 and 38,218.50

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Solution

The third proportional to 27,423 and 38,218.50 is: 53,263.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,423 : 38,218.50 = 38,218.50 : x
  2. Step 2: Convert to fraction form
    27,423/38,218.50 = 38,218.50/x
  3. Step 3: Cross multiply
    27,423x = 38,218.50 × 38,218.50
  4. Step 4: Simplify right side
    27,423x = 1,460,653,742.25
  5. Step 5: Solve for x
    x = 1,460,653,742.25/27,423
  6. Step 6: Final answer
    x = 53,263.82

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.