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Finding the Third Proportional to 14,607.28 and 31,549.98

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Solution

The third proportional to 14,607.28 and 31,549.98 is: 68,144.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,607.28 : 31,549.98 = 31,549.98 : x
  2. Step 2: Convert to fraction form
    14,607.28/31,549.98 = 31,549.98/x
  3. Step 3: Cross multiply
    14,607.28x = 31,549.98 × 31,549.98
  4. Step 4: Simplify right side
    14,607.28x = 995,401,521.77
  5. Step 5: Solve for x
    x = 995,401,521.77/14,607.28
  6. Step 6: Final answer
    x = 68,144.23

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.