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Finding the Third Proportional to 14,816.25 and 32,103

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Solution

The third proportional to 14,816.25 and 32,103 is: 69,558.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,816.25 : 32,103 = 32,103 : x
  2. Step 2: Convert to fraction form
    14,816.25/32,103 = 32,103/x
  3. Step 3: Cross multiply
    14,816.25x = 32,103 × 32,103
  4. Step 4: Simplify right side
    14,816.25x = 1,030,602,609
  5. Step 5: Solve for x
    x = 1,030,602,609/14,816.25
  6. Step 6: Final answer
    x = 69,558.94

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.