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Finding the Third Proportional to 23,009 and 36,053

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Solution

The third proportional to 23,009 and 36,053 is: 56,491.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,009 : 36,053 = 36,053 : x
  2. Step 2: Convert to fraction form
    23,009/36,053 = 36,053/x
  3. Step 3: Cross multiply
    23,009x = 36,053 × 36,053
  4. Step 4: Simplify right side
    23,009x = 1,299,818,809
  5. Step 5: Solve for x
    x = 1,299,818,809/23,009
  6. Step 6: Final answer
    x = 56,491.76

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.