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Finding the Third Proportional to 26,130 and 61,673

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Solution

The third proportional to 26,130 and 61,673 is: 145,562.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,130 : 61,673 = 61,673 : x
  2. Step 2: Convert to fraction form
    26,130/61,673 = 61,673/x
  3. Step 3: Cross multiply
    26,130x = 61,673 × 61,673
  4. Step 4: Simplify right side
    26,130x = 3,803,558,929
  5. Step 5: Solve for x
    x = 3,803,558,929/26,130
  6. Step 6: Final answer
    x = 145,562.91

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.