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Finding the Third Proportional to 14,159.81 and 31,048.31

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Solution

The third proportional to 14,159.81 and 31,048.31 is: 68,079.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,159.81 : 31,048.31 = 31,048.31 : x
  2. Step 2: Convert to fraction form
    14,159.81/31,048.31 = 31,048.31/x
  3. Step 3: Cross multiply
    14,159.81x = 31,048.31 × 31,048.31
  4. Step 4: Simplify right side
    14,159.81x = 963,997,709.10
  5. Step 5: Solve for x
    x = 963,997,709.10/14,159.81
  6. Step 6: Final answer
    x = 68,079.84

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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.