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Finding the Third Proportional to 19,920 and 30,373.50

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Solution

The third proportional to 19,920 and 30,373.50 is: 46,312.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,920 : 30,373.50 = 30,373.50 : x
  2. Step 2: Convert to fraction form
    19,920/30,373.50 = 30,373.50/x
  3. Step 3: Cross multiply
    19,920x = 30,373.50 × 30,373.50
  4. Step 4: Simplify right side
    19,920x = 922,549,502.25
  5. Step 5: Solve for x
    x = 922,549,502.25/19,920
  6. Step 6: Final answer
    x = 46,312.73

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.