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Finding the Third Proportional to 25,444.13 and 36,522.14

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Solution

The third proportional to 25,444.13 and 36,522.14 is: 52,423.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,444.13 : 36,522.14 = 36,522.14 : x
  2. Step 2: Convert to fraction form
    25,444.13/36,522.14 = 36,522.14/x
  3. Step 3: Cross multiply
    25,444.13x = 36,522.14 × 36,522.14
  4. Step 4: Simplify right side
    25,444.13x = 1,333,866,755.83
  5. Step 5: Solve for x
    x = 1,333,866,755.83/25,444.13
  6. Step 6: Final answer
    x = 52,423.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.