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Finding the Third Proportional to 13,967.44 and 30,398.63

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Solution

The third proportional to 13,967.44 and 30,398.63 is: 66,159.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,967.44 : 30,398.63 = 30,398.63 : x
  2. Step 2: Convert to fraction form
    13,967.44/30,398.63 = 30,398.63/x
  3. Step 3: Cross multiply
    13,967.44x = 30,398.63 × 30,398.63
  4. Step 4: Simplify right side
    13,967.44x = 924,076,401.89
  5. Step 5: Solve for x
    x = 924,076,401.89/13,967.44
  6. Step 6: Final answer
    x = 66,159.34

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.