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Finding the Third Proportional to 26,565 and 57,803

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Solution

The third proportional to 26,565 and 57,803 is: 125,774.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,565 : 57,803 = 57,803 : x
  2. Step 2: Convert to fraction form
    26,565/57,803 = 57,803/x
  3. Step 3: Cross multiply
    26,565x = 57,803 × 57,803
  4. Step 4: Simplify right side
    26,565x = 3,341,186,809
  5. Step 5: Solve for x
    x = 3,341,186,809/26,565
  6. Step 6: Final answer
    x = 125,774.02

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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.