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Finding the Third Proportional to 14,746.69 and 31,953.19

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Solution

The third proportional to 14,746.69 and 31,953.19 is: 69,236.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,746.69 : 31,953.19 = 31,953.19 : x
  2. Step 2: Convert to fraction form
    14,746.69/31,953.19 = 31,953.19/x
  3. Step 3: Cross multiply
    14,746.69x = 31,953.19 × 31,953.19
  4. Step 4: Simplify right side
    14,746.69x = 1,021,006,191.41
  5. Step 5: Solve for x
    x = 1,021,006,191.41/14,746.69
  6. Step 6: Final answer
    x = 69,236.31

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.