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Finding the Third Proportional to 10,393.95 and 15,317.54

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Solution

The third proportional to 10,393.95 and 15,317.54 is: 22,573.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,393.95 : 15,317.54 = 15,317.54 : x
  2. Step 2: Convert to fraction form
    10,393.95/15,317.54 = 15,317.54/x
  3. Step 3: Cross multiply
    10,393.95x = 15,317.54 × 15,317.54
  4. Step 4: Simplify right side
    10,393.95x = 234,627,122.60
  5. Step 5: Solve for x
    x = 234,627,122.60/10,393.95
  6. Step 6: Final answer
    x = 22,573.44

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.