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Finding the Third Proportional to 26,302 and 57,712

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Solution

The third proportional to 26,302 and 57,712 is: 126,632.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,302 : 57,712 = 57,712 : x
  2. Step 2: Convert to fraction form
    26,302/57,712 = 57,712/x
  3. Step 3: Cross multiply
    26,302x = 57,712 × 57,712
  4. Step 4: Simplify right side
    26,302x = 3,330,674,944
  5. Step 5: Solve for x
    x = 3,330,674,944/26,302
  6. Step 6: Final answer
    x = 126,632.00

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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.