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Finding the Third Proportional to 25,444.50 and 45,420

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Solution

The third proportional to 25,444.50 and 45,420 is: 81,077.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,444.50 : 45,420 = 45,420 : x
  2. Step 2: Convert to fraction form
    25,444.50/45,420 = 45,420/x
  3. Step 3: Cross multiply
    25,444.50x = 45,420 × 45,420
  4. Step 4: Simplify right side
    25,444.50x = 2,062,976,400
  5. Step 5: Solve for x
    x = 2,062,976,400/25,444.50
  6. Step 6: Final answer
    x = 81,077.50

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.