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Finding the Third Proportional to 23,001 and 32,553

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Solution

The third proportional to 23,001 and 32,553 is: 46,071.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,001 : 32,553 = 32,553 : x
  2. Step 2: Convert to fraction form
    23,001/32,553 = 32,553/x
  3. Step 3: Cross multiply
    23,001x = 32,553 × 32,553
  4. Step 4: Simplify right side
    23,001x = 1,059,697,809
  5. Step 5: Solve for x
    x = 1,059,697,809/23,001
  6. Step 6: Final answer
    x = 46,071.81

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Why These Related Problems?

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