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Finding the Third Proportional to 23,007 and 32,562

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Solution

The third proportional to 23,007 and 32,562 is: 46,085.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,007 : 32,562 = 32,562 : x
  2. Step 2: Convert to fraction form
    23,007/32,562 = 32,562/x
  3. Step 3: Cross multiply
    23,007x = 32,562 × 32,562
  4. Step 4: Simplify right side
    23,007x = 1,060,283,844
  5. Step 5: Solve for x
    x = 1,060,283,844/23,007
  6. Step 6: Final answer
    x = 46,085.27

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.