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Finding the Third Proportional to 14,465.81 and 31,557.38

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Solution

The third proportional to 14,465.81 and 31,557.38 is: 68,842.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,465.81 : 31,557.38 = 31,557.38 : x
  2. Step 2: Convert to fraction form
    14,465.81/31,557.38 = 31,557.38/x
  3. Step 3: Cross multiply
    14,465.81x = 31,557.38 × 31,557.38
  4. Step 4: Simplify right side
    14,465.81x = 995,867,916.89
  5. Step 5: Solve for x
    x = 995,867,916.89/14,465.81
  6. Step 6: Final answer
    x = 68,842.86

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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.