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Finding the Third Proportional to 25,623 and 41,125.50

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Solution

The third proportional to 25,623 and 41,125.50 is: 66,007.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,623 : 41,125.50 = 41,125.50 : x
  2. Step 2: Convert to fraction form
    25,623/41,125.50 = 41,125.50/x
  3. Step 3: Cross multiply
    25,623x = 41,125.50 × 41,125.50
  4. Step 4: Simplify right side
    25,623x = 1,691,306,750.25
  5. Step 5: Solve for x
    x = 1,691,306,750.25/25,623
  6. Step 6: Final answer
    x = 66,007.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.