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Finding the Third Proportional to 19,816 and 28,784

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Solution

The third proportional to 19,816 and 28,784 is: 41,810.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,816 : 28,784 = 28,784 : x
  2. Step 2: Convert to fraction form
    19,816/28,784 = 28,784/x
  3. Step 3: Cross multiply
    19,816x = 28,784 × 28,784
  4. Step 4: Simplify right side
    19,816x = 828,518,656
  5. Step 5: Solve for x
    x = 828,518,656/19,816
  6. Step 6: Final answer
    x = 41,810.59

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.