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Finding the Third Proportional to 14,463.56 and 31,701.38

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Solution

The third proportional to 14,463.56 and 31,701.38 is: 69,483.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,463.56 : 31,701.38 = 31,701.38 : x
  2. Step 2: Convert to fraction form
    14,463.56/31,701.38 = 31,701.38/x
  3. Step 3: Cross multiply
    14,463.56x = 31,701.38 × 31,701.38
  4. Step 4: Simplify right side
    14,463.56x = 1,004,977,176.89
  5. Step 5: Solve for x
    x = 1,004,977,176.89/14,463.56
  6. Step 6: Final answer
    x = 69,483.38

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.