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Finding the Third Proportional to 15,071 and 30,553

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Solution

The third proportional to 15,071 and 30,553 is: 61,939.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,071 : 30,553 = 30,553 : x
  2. Step 2: Convert to fraction form
    15,071/30,553 = 30,553/x
  3. Step 3: Cross multiply
    15,071x = 30,553 × 30,553
  4. Step 4: Simplify right side
    15,071x = 933,485,809
  5. Step 5: Solve for x
    x = 933,485,809/15,071
  6. Step 6: Final answer
    x = 61,939.21

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.