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Finding the Third Proportional to 27,815.50 and 43,043

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Solution

The third proportional to 27,815.50 and 43,043 is: 66,606.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,815.50 : 43,043 = 43,043 : x
  2. Step 2: Convert to fraction form
    27,815.50/43,043 = 43,043/x
  3. Step 3: Cross multiply
    27,815.50x = 43,043 × 43,043
  4. Step 4: Simplify right side
    27,815.50x = 1,852,699,849
  5. Step 5: Solve for x
    x = 1,852,699,849/27,815.50
  6. Step 6: Final answer
    x = 66,606.74

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.