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Finding the Third Proportional to 14,425.31 and 22,822.63

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Solution

The third proportional to 14,425.31 and 22,822.63 is: 36,108.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,425.31 : 22,822.63 = 22,822.63 : x
  2. Step 2: Convert to fraction form
    14,425.31/22,822.63 = 22,822.63/x
  3. Step 3: Cross multiply
    14,425.31x = 22,822.63 × 22,822.63
  4. Step 4: Simplify right side
    14,425.31x = 520,872,211.89
  5. Step 5: Solve for x
    x = 520,872,211.89/14,425.31
  6. Step 6: Final answer
    x = 36,108.21

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.