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Finding the Third Proportional to 26,776 and 58,658

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Solution

The third proportional to 26,776 and 58,658 is: 128,501.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,776 : 58,658 = 58,658 : x
  2. Step 2: Convert to fraction form
    26,776/58,658 = 58,658/x
  3. Step 3: Cross multiply
    26,776x = 58,658 × 58,658
  4. Step 4: Simplify right side
    26,776x = 3,440,760,964
  5. Step 5: Solve for x
    x = 3,440,760,964/26,776
  6. Step 6: Final answer
    x = 128,501.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.