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Finding the Third Proportional to 24,203.81 and 37,386.56

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Solution

The third proportional to 24,203.81 and 37,386.56 is: 57,749.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,203.81 : 37,386.56 = 37,386.56 : x
  2. Step 2: Convert to fraction form
    24,203.81/37,386.56 = 37,386.56/x
  3. Step 3: Cross multiply
    24,203.81x = 37,386.56 × 37,386.56
  4. Step 4: Simplify right side
    24,203.81x = 1,397,755,055.57
  5. Step 5: Solve for x
    x = 1,397,755,055.57/24,203.81
  6. Step 6: Final answer
    x = 57,749.38

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.