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Finding the Third Proportional to 15,975 and 30,798

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Solution

The third proportional to 15,975 and 30,798 is: 59,375.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,975 : 30,798 = 30,798 : x
  2. Step 2: Convert to fraction form
    15,975/30,798 = 30,798/x
  3. Step 3: Cross multiply
    15,975x = 30,798 × 30,798
  4. Step 4: Simplify right side
    15,975x = 948,516,804
  5. Step 5: Solve for x
    x = 948,516,804/15,975
  6. Step 6: Final answer
    x = 59,375.07

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Why These Related Problems?

These problems maintain the same ratio (1.93) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.