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Finding the Third Proportional to 28,343 and 58,733

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Solution

The third proportional to 28,343 and 58,733 is: 121,707.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,343 : 58,733 = 58,733 : x
  2. Step 2: Convert to fraction form
    28,343/58,733 = 58,733/x
  3. Step 3: Cross multiply
    28,343x = 58,733 × 58,733
  4. Step 4: Simplify right side
    28,343x = 3,449,565,289
  5. Step 5: Solve for x
    x = 3,449,565,289/28,343
  6. Step 6: Final answer
    x = 121,707.84

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.