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Finding the Third Proportional to 25,084.50 and 36,726.94

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Solution

The third proportional to 25,084.50 and 36,726.94 is: 53,772.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,084.50 : 36,726.94 = 36,726.94 : x
  2. Step 2: Convert to fraction form
    25,084.50/36,726.94 = 36,726.94/x
  3. Step 3: Cross multiply
    25,084.50x = 36,726.94 × 36,726.94
  4. Step 4: Simplify right side
    25,084.50x = 1,348,867,938.13
  5. Step 5: Solve for x
    x = 1,348,867,938.13/25,084.50
  6. Step 6: Final answer
    x = 53,772.96

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.