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Finding the Third Proportional to 24,975 and 53,835

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Solution

The third proportional to 24,975 and 53,835 is: 116,044.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,975 : 53,835 = 53,835 : x
  2. Step 2: Convert to fraction form
    24,975/53,835 = 53,835/x
  3. Step 3: Cross multiply
    24,975x = 53,835 × 53,835
  4. Step 4: Simplify right side
    24,975x = 2,898,207,225
  5. Step 5: Solve for x
    x = 2,898,207,225/24,975
  6. Step 6: Final answer
    x = 116,044.33

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.