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Finding the Third Proportional to 39,511.13 and 86,562

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Solution

The third proportional to 39,511.13 and 86,562 is: 189,642.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,511.13 : 86,562 = 86,562 : x
  2. Step 2: Convert to fraction form
    39,511.13/86,562 = 86,562/x
  3. Step 3: Cross multiply
    39,511.13x = 86,562 × 86,562
  4. Step 4: Simplify right side
    39,511.13x = 7,492,979,844
  5. Step 5: Solve for x
    x = 7,492,979,844/39,511.13
  6. Step 6: Final answer
    x = 189,642.28

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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.