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Finding the Third Proportional to 27,869.50 and 43,654

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Solution

The third proportional to 27,869.50 and 43,654 is: 68,378.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,869.50 : 43,654 = 43,654 : x
  2. Step 2: Convert to fraction form
    27,869.50/43,654 = 43,654/x
  3. Step 3: Cross multiply
    27,869.50x = 43,654 × 43,654
  4. Step 4: Simplify right side
    27,869.50x = 1,905,671,716
  5. Step 5: Solve for x
    x = 1,905,671,716/27,869.50
  6. Step 6: Final answer
    x = 68,378.40

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.