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Finding the Third Proportional to 21,774.45 and 31,821.29

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Solution

The third proportional to 21,774.45 and 31,821.29 is: 46,503.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,774.45 : 31,821.29 = 31,821.29 : x
  2. Step 2: Convert to fraction form
    21,774.45/31,821.29 = 31,821.29/x
  3. Step 3: Cross multiply
    21,774.45x = 31,821.29 × 31,821.29
  4. Step 4: Simplify right side
    21,774.45x = 1,012,594,686.20
  5. Step 5: Solve for x
    x = 1,012,594,686.20/21,774.45
  6. Step 6: Final answer
    x = 46,503.81

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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.