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Finding the Third Proportional to 25,321 and 39,348

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Solution

The third proportional to 25,321 and 39,348 is: 61,145.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,321 : 39,348 = 39,348 : x
  2. Step 2: Convert to fraction form
    25,321/39,348 = 39,348/x
  3. Step 3: Cross multiply
    25,321x = 39,348 × 39,348
  4. Step 4: Simplify right side
    25,321x = 1,548,265,104
  5. Step 5: Solve for x
    x = 1,548,265,104/25,321
  6. Step 6: Final answer
    x = 61,145.50

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.