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Finding the Third Proportional to 53,284 and 82,788

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Solution

The third proportional to 53,284 and 82,788 is: 128,628.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,284 : 82,788 = 82,788 : x
  2. Step 2: Convert to fraction form
    53,284/82,788 = 82,788/x
  3. Step 3: Cross multiply
    53,284x = 82,788 × 82,788
  4. Step 4: Simplify right side
    53,284x = 6,853,852,944
  5. Step 5: Solve for x
    x = 6,853,852,944/53,284
  6. Step 6: Final answer
    x = 128,628.72

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.