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Finding the Third Proportional to 26,032.50 and 55,336.50

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Solution

The third proportional to 26,032.50 and 55,336.50 is: 117,627.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,032.50 : 55,336.50 = 55,336.50 : x
  2. Step 2: Convert to fraction form
    26,032.50/55,336.50 = 55,336.50/x
  3. Step 3: Cross multiply
    26,032.50x = 55,336.50 × 55,336.50
  4. Step 4: Simplify right side
    26,032.50x = 3,062,128,232.25
  5. Step 5: Solve for x
    x = 3,062,128,232.25/26,032.50
  6. Step 6: Final answer
    x = 117,627.13

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.