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Finding the Third Proportional to 25,935 and 56,913

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Solution

The third proportional to 25,935 and 56,913 is: 124,892.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,935 : 56,913 = 56,913 : x
  2. Step 2: Convert to fraction form
    25,935/56,913 = 56,913/x
  3. Step 3: Cross multiply
    25,935x = 56,913 × 56,913
  4. Step 4: Simplify right side
    25,935x = 3,239,089,569
  5. Step 5: Solve for x
    x = 3,239,089,569/25,935
  6. Step 6: Final answer
    x = 124,892.60

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.