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Finding the Third Proportional to 35,004 and 76,810

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Solution

The third proportional to 35,004 and 76,810 is: 168,545.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,004 : 76,810 = 76,810 : x
  2. Step 2: Convert to fraction form
    35,004/76,810 = 76,810/x
  3. Step 3: Cross multiply
    35,004x = 76,810 × 76,810
  4. Step 4: Simplify right side
    35,004x = 5,899,776,100
  5. Step 5: Solve for x
    x = 5,899,776,100/35,004
  6. Step 6: Final answer
    x = 168,545.77

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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.