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Finding the Third Proportional to 19,089 and 27,877.50

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Solution

The third proportional to 19,089 and 27,877.50 is: 40,712.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,089 : 27,877.50 = 27,877.50 : x
  2. Step 2: Convert to fraction form
    19,089/27,877.50 = 27,877.50/x
  3. Step 3: Cross multiply
    19,089x = 27,877.50 × 27,877.50
  4. Step 4: Simplify right side
    19,089x = 777,155,006.25
  5. Step 5: Solve for x
    x = 777,155,006.25/19,089
  6. Step 6: Final answer
    x = 40,712.19

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.