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Finding the Third Proportional to 14,438.25 and 31,235.63

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Solution

The third proportional to 14,438.25 and 31,235.63 is: 67,574.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,438.25 : 31,235.63 = 31,235.63 : x
  2. Step 2: Convert to fraction form
    14,438.25/31,235.63 = 31,235.63/x
  3. Step 3: Cross multiply
    14,438.25x = 31,235.63 × 31,235.63
  4. Step 4: Simplify right side
    14,438.25x = 975,664,269.14
  5. Step 5: Solve for x
    x = 975,664,269.14/14,438.25
  6. Step 6: Final answer
    x = 67,574.97

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.