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Finding the Third Proportional to 25,476.19 and 36,695.53

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Solution

The third proportional to 25,476.19 and 36,695.53 is: 52,855.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,476.19 : 36,695.53 = 36,695.53 : x
  2. Step 2: Convert to fraction form
    25,476.19/36,695.53 = 36,695.53/x
  3. Step 3: Cross multiply
    25,476.19x = 36,695.53 × 36,695.53
  4. Step 4: Simplify right side
    25,476.19x = 1,346,562,013.72
  5. Step 5: Solve for x
    x = 1,346,562,013.72/25,476.19
  6. Step 6: Final answer
    x = 52,855.71

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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.