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Finding the Third Proportional to 27,742.50 and 43,803

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Solution

The third proportional to 27,742.50 and 43,803 is: 69,161.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,742.50 : 43,803 = 43,803 : x
  2. Step 2: Convert to fraction form
    27,742.50/43,803 = 43,803/x
  3. Step 3: Cross multiply
    27,742.50x = 43,803 × 43,803
  4. Step 4: Simplify right side
    27,742.50x = 1,918,702,809
  5. Step 5: Solve for x
    x = 1,918,702,809/27,742.50
  6. Step 6: Final answer
    x = 69,161.14

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.