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Finding the Third Proportional to 24,981.25 and 53,523.63

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Solution

The third proportional to 24,981.25 and 53,523.63 is: 114,677.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,981.25 : 53,523.63 = 53,523.63 : x
  2. Step 2: Convert to fraction form
    24,981.25/53,523.63 = 53,523.63/x
  3. Step 3: Cross multiply
    24,981.25x = 53,523.63 × 53,523.63
  4. Step 4: Simplify right side
    24,981.25x = 2,864,778,433.14
  5. Step 5: Solve for x
    x = 2,864,778,433.14/24,981.25
  6. Step 6: Final answer
    x = 114,677.15

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.