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Finding the Third Proportional to 24,203.81 and 37,740.94

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Solution

The third proportional to 24,203.81 and 37,740.94 is: 58,849.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,203.81 : 37,740.94 = 37,740.94 : x
  2. Step 2: Convert to fraction form
    24,203.81/37,740.94 = 37,740.94/x
  3. Step 3: Cross multiply
    24,203.81x = 37,740.94 × 37,740.94
  4. Step 4: Simplify right side
    24,203.81x = 1,424,378,363.38
  5. Step 5: Solve for x
    x = 1,424,378,363.38/24,203.81
  6. Step 6: Final answer
    x = 58,849.34

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.