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Finding the Third Proportional to 24,014.50 and 35,243

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Solution

The third proportional to 24,014.50 and 35,243 is: 51,721.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,014.50 : 35,243 = 35,243 : x
  2. Step 2: Convert to fraction form
    24,014.50/35,243 = 35,243/x
  3. Step 3: Cross multiply
    24,014.50x = 35,243 × 35,243
  4. Step 4: Simplify right side
    24,014.50x = 1,242,069,049
  5. Step 5: Solve for x
    x = 1,242,069,049/24,014.50
  6. Step 6: Final answer
    x = 51,721.63

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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.