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Finding the Third Proportional to 19,389 and 31,390.50

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Solution

The third proportional to 19,389 and 31,390.50 is: 50,820.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,389 : 31,390.50 = 31,390.50 : x
  2. Step 2: Convert to fraction form
    19,389/31,390.50 = 31,390.50/x
  3. Step 3: Cross multiply
    19,389x = 31,390.50 × 31,390.50
  4. Step 4: Simplify right side
    19,389x = 985,363,490.25
  5. Step 5: Solve for x
    x = 985,363,490.25/19,389
  6. Step 6: Final answer
    x = 50,820.75

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These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.