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Finding the Third Proportional to 26,335 and 58,007

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Solution

The third proportional to 26,335 and 58,007 is: 127,769.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,335 : 58,007 = 58,007 : x
  2. Step 2: Convert to fraction form
    26,335/58,007 = 58,007/x
  3. Step 3: Cross multiply
    26,335x = 58,007 × 58,007
  4. Step 4: Simplify right side
    26,335x = 3,364,812,049
  5. Step 5: Solve for x
    x = 3,364,812,049/26,335
  6. Step 6: Final answer
    x = 127,769.59

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.