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Finding the Third Proportional to 15,301.41 and 32,273.44

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Solution

The third proportional to 15,301.41 and 32,273.44 is: 68,070.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,301.41 : 32,273.44 = 32,273.44 : x
  2. Step 2: Convert to fraction form
    15,301.41/32,273.44 = 32,273.44/x
  3. Step 3: Cross multiply
    15,301.41x = 32,273.44 × 32,273.44
  4. Step 4: Simplify right side
    15,301.41x = 1,041,574,768.07
  5. Step 5: Solve for x
    x = 1,041,574,768.07/15,301.41
  6. Step 6: Final answer
    x = 68,070.53

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.