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Finding the Third Proportional to 24,986.63 and 53,678.63

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Solution

The third proportional to 24,986.63 and 53,678.63 is: 115,317.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,986.63 : 53,678.63 = 53,678.63 : x
  2. Step 2: Convert to fraction form
    24,986.63/53,678.63 = 53,678.63/x
  3. Step 3: Cross multiply
    24,986.63x = 53,678.63 × 53,678.63
  4. Step 4: Simplify right side
    24,986.63x = 2,881,394,781.89
  5. Step 5: Solve for x
    x = 2,881,394,781.89/24,986.63
  6. Step 6: Final answer
    x = 115,317.49

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.