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Finding the Third Proportional to 26,475 and 57,810

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Solution

The third proportional to 26,475 and 57,810 is: 126,232.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,475 : 57,810 = 57,810 : x
  2. Step 2: Convert to fraction form
    26,475/57,810 = 57,810/x
  3. Step 3: Cross multiply
    26,475x = 57,810 × 57,810
  4. Step 4: Simplify right side
    26,475x = 3,341,996,100
  5. Step 5: Solve for x
    x = 3,341,996,100/26,475
  6. Step 6: Final answer
    x = 126,232.15

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.