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Finding the Third Proportional to 23,781 and 36,566.25

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Solution

The third proportional to 23,781 and 36,566.25 is: 56,225.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,781 : 36,566.25 = 36,566.25 : x
  2. Step 2: Convert to fraction form
    23,781/36,566.25 = 36,566.25/x
  3. Step 3: Cross multiply
    23,781x = 36,566.25 × 36,566.25
  4. Step 4: Simplify right side
    23,781x = 1,337,090,639.06
  5. Step 5: Solve for x
    x = 1,337,090,639.06/23,781
  6. Step 6: Final answer
    x = 56,225.16

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.