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Finding the Third Proportional to 35,006 and 53,804

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Solution

The third proportional to 35,006 and 53,804 is: 82,696.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,006 : 53,804 = 53,804 : x
  2. Step 2: Convert to fraction form
    35,006/53,804 = 53,804/x
  3. Step 3: Cross multiply
    35,006x = 53,804 × 53,804
  4. Step 4: Simplify right side
    35,006x = 2,894,870,416
  5. Step 5: Solve for x
    x = 2,894,870,416/35,006
  6. Step 6: Final answer
    x = 82,696.41

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.