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Finding the Third Proportional to 24,973.69 and 53,125.69

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Solution

The third proportional to 24,973.69 and 53,125.69 is: 113,012.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,973.69 : 53,125.69 = 53,125.69 : x
  2. Step 2: Convert to fraction form
    24,973.69/53,125.69 = 53,125.69/x
  3. Step 3: Cross multiply
    24,973.69x = 53,125.69 × 53,125.69
  4. Step 4: Simplify right side
    24,973.69x = 2,822,338,672.35
  5. Step 5: Solve for x
    x = 2,822,338,672.35/24,973.69
  6. Step 6: Final answer
    x = 113,012.49

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.