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Finding the Third Proportional to 26,627 and 58,346.50

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Solution

The third proportional to 26,627 and 58,346.50 is: 127,851.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,627 : 58,346.50 = 58,346.50 : x
  2. Step 2: Convert to fraction form
    26,627/58,346.50 = 58,346.50/x
  3. Step 3: Cross multiply
    26,627x = 58,346.50 × 58,346.50
  4. Step 4: Simplify right side
    26,627x = 3,404,314,062.25
  5. Step 5: Solve for x
    x = 3,404,314,062.25/26,627
  6. Step 6: Final answer
    x = 127,851.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.