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Finding the Third Proportional to 25,284 and 37,440

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Solution

The third proportional to 25,284 and 37,440 is: 55,440.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,284 : 37,440 = 37,440 : x
  2. Step 2: Convert to fraction form
    25,284/37,440 = 37,440/x
  3. Step 3: Cross multiply
    25,284x = 37,440 × 37,440
  4. Step 4: Simplify right side
    25,284x = 1,401,753,600
  5. Step 5: Solve for x
    x = 1,401,753,600/25,284
  6. Step 6: Final answer
    x = 55,440.34

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.