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Finding the Third Proportional to 24,697.13 and 37,263.38

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Solution

The third proportional to 24,697.13 and 37,263.38 is: 56,223.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,697.13 : 37,263.38 = 37,263.38 : x
  2. Step 2: Convert to fraction form
    24,697.13/37,263.38 = 37,263.38/x
  3. Step 3: Cross multiply
    24,697.13x = 37,263.38 × 37,263.38
  4. Step 4: Simplify right side
    24,697.13x = 1,388,559,116.39
  5. Step 5: Solve for x
    x = 1,388,559,116.39/24,697.13
  6. Step 6: Final answer
    x = 56,223.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.