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Finding the Third Proportional to 26,965 and 58,511

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Solution

The third proportional to 26,965 and 58,511 is: 126,962.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,965 : 58,511 = 58,511 : x
  2. Step 2: Convert to fraction form
    26,965/58,511 = 58,511/x
  3. Step 3: Cross multiply
    26,965x = 58,511 × 58,511
  4. Step 4: Simplify right side
    26,965x = 3,423,537,121
  5. Step 5: Solve for x
    x = 3,423,537,121/26,965
  6. Step 6: Final answer
    x = 126,962.25

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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.