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Finding the Third Proportional to 34,228 and 45,784

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Solution

The third proportional to 34,228 and 45,784 is: 61,241.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,228 : 45,784 = 45,784 : x
  2. Step 2: Convert to fraction form
    34,228/45,784 = 45,784/x
  3. Step 3: Cross multiply
    34,228x = 45,784 × 45,784
  4. Step 4: Simplify right side
    34,228x = 2,096,174,656
  5. Step 5: Solve for x
    x = 2,096,174,656/34,228
  6. Step 6: Final answer
    x = 61,241.52

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.