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Finding the Third Proportional to 35,552.25 and 78,516

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Solution

The third proportional to 35,552.25 and 78,516 is: 173,400.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,552.25 : 78,516 = 78,516 : x
  2. Step 2: Convert to fraction form
    35,552.25/78,516 = 78,516/x
  3. Step 3: Cross multiply
    35,552.25x = 78,516 × 78,516
  4. Step 4: Simplify right side
    35,552.25x = 6,164,762,256
  5. Step 5: Solve for x
    x = 6,164,762,256/35,552.25
  6. Step 6: Final answer
    x = 173,400.06

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.