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Finding the Third Proportional to 25,292.25 and 36,434.81

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Solution

The third proportional to 25,292.25 and 36,434.81 is: 52,486.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,292.25 : 36,434.81 = 36,434.81 : x
  2. Step 2: Convert to fraction form
    25,292.25/36,434.81 = 36,434.81/x
  3. Step 3: Cross multiply
    25,292.25x = 36,434.81 × 36,434.81
  4. Step 4: Simplify right side
    25,292.25x = 1,327,495,561.91
  5. Step 5: Solve for x
    x = 1,327,495,561.91/25,292.25
  6. Step 6: Final answer
    x = 52,486.26

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