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Finding the Third Proportional to 19,615.13 and 48,365.88

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Solution

The third proportional to 19,615.13 and 48,365.88 is: 119,257.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,615.13 : 48,365.88 = 48,365.88 : x
  2. Step 2: Convert to fraction form
    19,615.13/48,365.88 = 48,365.88/x
  3. Step 3: Cross multiply
    19,615.13x = 48,365.88 × 48,365.88
  4. Step 4: Simplify right side
    19,615.13x = 2,339,257,864.52
  5. Step 5: Solve for x
    x = 2,339,257,864.52/19,615.13
  6. Step 6: Final answer
    x = 119,257.86

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Why These Related Problems?

These problems maintain the same ratio (2.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.