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Finding the Third Proportional to 35,951 and 53,554

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Solution

The third proportional to 35,951 and 53,554 is: 79,776.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,951 : 53,554 = 53,554 : x
  2. Step 2: Convert to fraction form
    35,951/53,554 = 53,554/x
  3. Step 3: Cross multiply
    35,951x = 53,554 × 53,554
  4. Step 4: Simplify right side
    35,951x = 2,868,030,916
  5. Step 5: Solve for x
    x = 2,868,030,916/35,951
  6. Step 6: Final answer
    x = 79,776.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.