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Finding the Third Proportional to 24,444 and 36,090

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Solution

The third proportional to 24,444 and 36,090 is: 53,284.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,444 : 36,090 = 36,090 : x
  2. Step 2: Convert to fraction form
    24,444/36,090 = 36,090/x
  3. Step 3: Cross multiply
    24,444x = 36,090 × 36,090
  4. Step 4: Simplify right side
    24,444x = 1,302,488,100
  5. Step 5: Solve for x
    x = 1,302,488,100/24,444
  6. Step 6: Final answer
    x = 53,284.57

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.