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Finding the Third Proportional to 25,913 and 53,773

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Solution

The third proportional to 25,913 and 53,773 is: 111,586.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,913 : 53,773 = 53,773 : x
  2. Step 2: Convert to fraction form
    25,913/53,773 = 53,773/x
  3. Step 3: Cross multiply
    25,913x = 53,773 × 53,773
  4. Step 4: Simplify right side
    25,913x = 2,891,535,529
  5. Step 5: Solve for x
    x = 2,891,535,529/25,913
  6. Step 6: Final answer
    x = 111,586.29

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.