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Finding the Third Proportional to 14,386.50 and 31,388.25

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Solution

The third proportional to 14,386.50 and 31,388.25 is: 68,482.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,386.50 : 31,388.25 = 31,388.25 : x
  2. Step 2: Convert to fraction form
    14,386.50/31,388.25 = 31,388.25/x
  3. Step 3: Cross multiply
    14,386.50x = 31,388.25 × 31,388.25
  4. Step 4: Simplify right side
    14,386.50x = 985,222,238.06
  5. Step 5: Solve for x
    x = 985,222,238.06/14,386.50
  6. Step 6: Final answer
    x = 68,482.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.