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Finding the Third Proportional to 19,948 and 43,784

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Solution

The third proportional to 19,948 and 43,784 is: 96,101.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,948 : 43,784 = 43,784 : x
  2. Step 2: Convert to fraction form
    19,948/43,784 = 43,784/x
  3. Step 3: Cross multiply
    19,948x = 43,784 × 43,784
  4. Step 4: Simplify right side
    19,948x = 1,917,038,656
  5. Step 5: Solve for x
    x = 1,917,038,656/19,948
  6. Step 6: Final answer
    x = 96,101.80

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.