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Finding the Third Proportional to 19,089 and 40,713.75

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Solution

The third proportional to 19,089 and 40,713.75 is: 86,835.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,089 : 40,713.75 = 40,713.75 : x
  2. Step 2: Convert to fraction form
    19,089/40,713.75 = 40,713.75/x
  3. Step 3: Cross multiply
    19,089x = 40,713.75 × 40,713.75
  4. Step 4: Simplify right side
    19,089x = 1,657,609,439.06
  5. Step 5: Solve for x
    x = 1,657,609,439.06/19,089
  6. Step 6: Final answer
    x = 86,835.84

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.