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Finding the Third Proportional to 25,394 and 55,648

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Solution

The third proportional to 25,394 and 55,648 is: 121,946.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,394 : 55,648 = 55,648 : x
  2. Step 2: Convert to fraction form
    25,394/55,648 = 55,648/x
  3. Step 3: Cross multiply
    25,394x = 55,648 × 55,648
  4. Step 4: Simplify right side
    25,394x = 3,096,699,904
  5. Step 5: Solve for x
    x = 3,096,699,904/25,394
  6. Step 6: Final answer
    x = 121,946.13

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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.