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Finding the Third Proportional to 26,160.75 and 53,712

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Solution

The third proportional to 26,160.75 and 53,712 is: 110,278.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,160.75 : 53,712 = 53,712 : x
  2. Step 2: Convert to fraction form
    26,160.75/53,712 = 53,712/x
  3. Step 3: Cross multiply
    26,160.75x = 53,712 × 53,712
  4. Step 4: Simplify right side
    26,160.75x = 2,884,978,944
  5. Step 5: Solve for x
    x = 2,884,978,944/26,160.75
  6. Step 6: Final answer
    x = 110,278.91

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.