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Finding the Third Proportional to 19,413 and 30,118.50

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Solution

The third proportional to 19,413 and 30,118.50 is: 46,727.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,413 : 30,118.50 = 30,118.50 : x
  2. Step 2: Convert to fraction form
    19,413/30,118.50 = 30,118.50/x
  3. Step 3: Cross multiply
    19,413x = 30,118.50 × 30,118.50
  4. Step 4: Simplify right side
    19,413x = 907,124,042.25
  5. Step 5: Solve for x
    x = 907,124,042.25/19,413
  6. Step 6: Final answer
    x = 46,727.66

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.