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Finding the Third Proportional to 14,435.25 and 31,629

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Solution

The third proportional to 14,435.25 and 31,629 is: 69,302.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,435.25 : 31,629 = 31,629 : x
  2. Step 2: Convert to fraction form
    14,435.25/31,629 = 31,629/x
  3. Step 3: Cross multiply
    14,435.25x = 31,629 × 31,629
  4. Step 4: Simplify right side
    14,435.25x = 1,000,393,641
  5. Step 5: Solve for x
    x = 1,000,393,641/14,435.25
  6. Step 6: Final answer
    x = 69,302.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.