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Finding the Third Proportional to 15,447 and 35,701.50

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Solution

The third proportional to 15,447 and 35,701.50 is: 82,514.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,447 : 35,701.50 = 35,701.50 : x
  2. Step 2: Convert to fraction form
    15,447/35,701.50 = 35,701.50/x
  3. Step 3: Cross multiply
    15,447x = 35,701.50 × 35,701.50
  4. Step 4: Simplify right side
    15,447x = 1,274,597,102.25
  5. Step 5: Solve for x
    x = 1,274,597,102.25/15,447
  6. Step 6: Final answer
    x = 82,514.22

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.