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Finding the Third Proportional to 26,964 and 58,508

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Solution

The third proportional to 26,964 and 58,508 is: 126,953.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,964 : 58,508 = 58,508 : x
  2. Step 2: Convert to fraction form
    26,964/58,508 = 58,508/x
  3. Step 3: Cross multiply
    26,964x = 58,508 × 58,508
  4. Step 4: Simplify right side
    26,964x = 3,423,186,064
  5. Step 5: Solve for x
    x = 3,423,186,064/26,964
  6. Step 6: Final answer
    x = 126,953.94

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.