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Finding the Third Proportional to 23,001 and 35,730

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Solution

The third proportional to 23,001 and 35,730 is: 55,503.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,001 : 35,730 = 35,730 : x
  2. Step 2: Convert to fraction form
    23,001/35,730 = 35,730/x
  3. Step 3: Cross multiply
    23,001x = 35,730 × 35,730
  4. Step 4: Simplify right side
    23,001x = 1,276,632,900
  5. Step 5: Solve for x
    x = 1,276,632,900/23,001
  6. Step 6: Final answer
    x = 55,503.37

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.