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Finding the Third Proportional to 14,295.69 and 31,360.56

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Solution

The third proportional to 14,295.69 and 31,360.56 is: 68,795.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,295.69 : 31,360.56 = 31,360.56 : x
  2. Step 2: Convert to fraction form
    14,295.69/31,360.56 = 31,360.56/x
  3. Step 3: Cross multiply
    14,295.69x = 31,360.56 × 31,360.56
  4. Step 4: Simplify right side
    14,295.69x = 983,484,880.32
  5. Step 5: Solve for x
    x = 983,484,880.32/14,295.69
  6. Step 6: Final answer
    x = 68,795.91

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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.