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Finding the Third Proportional to 59,547 and 82,029

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Solution

The third proportional to 59,547 and 82,029 is: 112,999.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,547 : 82,029 = 82,029 : x
  2. Step 2: Convert to fraction form
    59,547/82,029 = 82,029/x
  3. Step 3: Cross multiply
    59,547x = 82,029 × 82,029
  4. Step 4: Simplify right side
    59,547x = 6,728,756,841
  5. Step 5: Solve for x
    x = 6,728,756,841/59,547
  6. Step 6: Final answer
    x = 112,999.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.