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Finding the Third Proportional to 14,172.47 and 31,160.95

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Solution

The third proportional to 14,172.47 and 31,160.95 is: 68,513.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,172.47 : 31,160.95 = 31,160.95 : x
  2. Step 2: Convert to fraction form
    14,172.47/31,160.95 = 31,160.95/x
  3. Step 3: Cross multiply
    14,172.47x = 31,160.95 × 31,160.95
  4. Step 4: Simplify right side
    14,172.47x = 971,004,999.66
  5. Step 5: Solve for x
    x = 971,004,999.66/14,172.47
  6. Step 6: Final answer
    x = 68,513.47

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.