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Finding the Third Proportional to 12,148.63 and 19,837.63

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Solution

The third proportional to 12,148.63 and 19,837.63 is: 32,393.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,148.63 : 19,837.63 = 19,837.63 : x
  2. Step 2: Convert to fraction form
    12,148.63/19,837.63 = 19,837.63/x
  3. Step 3: Cross multiply
    12,148.63x = 19,837.63 × 19,837.63
  4. Step 4: Simplify right side
    12,148.63x = 393,531,365.64
  5. Step 5: Solve for x
    x = 393,531,365.64/12,148.63
  6. Step 6: Final answer
    x = 32,393.08

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.