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Finding the Third Proportional to 24,973.13 and 53,125.13

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Solution

The third proportional to 24,973.13 and 53,125.13 is: 113,012.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,973.13 : 53,125.13 = 53,125.13 : x
  2. Step 2: Convert to fraction form
    24,973.13/53,125.13 = 53,125.13/x
  3. Step 3: Cross multiply
    24,973.13x = 53,125.13 × 53,125.13
  4. Step 4: Simplify right side
    24,973.13x = 2,822,278,906.27
  5. Step 5: Solve for x
    x = 2,822,278,906.27/24,973.13
  6. Step 6: Final answer
    x = 113,012.64

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Why These Related Problems?

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