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Finding the Third Proportional to 26,784 and 51,138

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Solution

The third proportional to 26,784 and 51,138 is: 97,636.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,784 : 51,138 = 51,138 : x
  2. Step 2: Convert to fraction form
    26,784/51,138 = 51,138/x
  3. Step 3: Cross multiply
    26,784x = 51,138 × 51,138
  4. Step 4: Simplify right side
    26,784x = 2,615,095,044
  5. Step 5: Solve for x
    x = 2,615,095,044/26,784
  6. Step 6: Final answer
    x = 97,636.46

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.