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Finding the Third Proportional to 14,497.88 and 31,797.56

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Solution

The third proportional to 14,497.88 and 31,797.56 is: 69,740.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,497.88 : 31,797.56 = 31,797.56 : x
  2. Step 2: Convert to fraction form
    14,497.88/31,797.56 = 31,797.56/x
  3. Step 3: Cross multiply
    14,497.88x = 31,797.56 × 31,797.56
  4. Step 4: Simplify right side
    14,497.88x = 1,011,084,980.94
  5. Step 5: Solve for x
    x = 1,011,084,980.94/14,497.88
  6. Step 6: Final answer
    x = 69,740.22

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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.