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Finding the Third Proportional to 10,148.63 and 15,924.09

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Solution

The third proportional to 10,148.63 and 15,924.09 is: 24,986.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,148.63 : 15,924.09 = 15,924.09 : x
  2. Step 2: Convert to fraction form
    10,148.63/15,924.09 = 15,924.09/x
  3. Step 3: Cross multiply
    10,148.63x = 15,924.09 × 15,924.09
  4. Step 4: Simplify right side
    10,148.63x = 253,576,761.76
  5. Step 5: Solve for x
    x = 253,576,761.76/10,148.63
  6. Step 6: Final answer
    x = 24,986.32

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.