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Finding the Third Proportional to 15,505 and 22,501

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Solution

The third proportional to 15,505 and 22,501 is: 32,653.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,505 : 22,501 = 22,501 : x
  2. Step 2: Convert to fraction form
    15,505/22,501 = 22,501/x
  3. Step 3: Cross multiply
    15,505x = 22,501 × 22,501
  4. Step 4: Simplify right side
    15,505x = 506,295,001
  5. Step 5: Solve for x
    x = 506,295,001/15,505
  6. Step 6: Final answer
    x = 32,653.66

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.