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Finding the Third Proportional to 26,748 and 58,678

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Solution

The third proportional to 26,748 and 58,678 is: 128,723.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,748 : 58,678 = 58,678 : x
  2. Step 2: Convert to fraction form
    26,748/58,678 = 58,678/x
  3. Step 3: Cross multiply
    26,748x = 58,678 × 58,678
  4. Step 4: Simplify right side
    26,748x = 3,443,107,684
  5. Step 5: Solve for x
    x = 3,443,107,684/26,748
  6. Step 6: Final answer
    x = 128,723.93

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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.