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Finding the Third Proportional to 25,813.69 and 38,242.13

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Solution

The third proportional to 25,813.69 and 38,242.13 is: 56,654.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,813.69 : 38,242.13 = 38,242.13 : x
  2. Step 2: Convert to fraction form
    25,813.69/38,242.13 = 38,242.13/x
  3. Step 3: Cross multiply
    25,813.69x = 38,242.13 × 38,242.13
  4. Step 4: Simplify right side
    25,813.69x = 1,462,460,124.52
  5. Step 5: Solve for x
    x = 1,462,460,124.52/25,813.69
  6. Step 6: Final answer
    x = 56,654.44

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.