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Finding the Third Proportional to 28,444 and 39,784

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Solution

The third proportional to 28,444 and 39,784 is: 55,645.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,444 : 39,784 = 39,784 : x
  2. Step 2: Convert to fraction form
    28,444/39,784 = 39,784/x
  3. Step 3: Cross multiply
    28,444x = 39,784 × 39,784
  4. Step 4: Simplify right side
    28,444x = 1,582,766,656
  5. Step 5: Solve for x
    x = 1,582,766,656/28,444
  6. Step 6: Final answer
    x = 55,645.01

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.