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Finding the Third Proportional to 53,284 and 76,979.50

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Solution

The third proportional to 53,284 and 76,979.50 is: 111,212.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,284 : 76,979.50 = 76,979.50 : x
  2. Step 2: Convert to fraction form
    53,284/76,979.50 = 76,979.50/x
  3. Step 3: Cross multiply
    53,284x = 76,979.50 × 76,979.50
  4. Step 4: Simplify right side
    53,284x = 5,925,843,420.25
  5. Step 5: Solve for x
    x = 5,925,843,420.25/53,284
  6. Step 6: Final answer
    x = 111,212.44

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.