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Finding the Third Proportional to 44,025 and 94,894.50

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Solution

The third proportional to 44,025 and 94,894.50 is: 204,542.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,025 : 94,894.50 = 94,894.50 : x
  2. Step 2: Convert to fraction form
    44,025/94,894.50 = 94,894.50/x
  3. Step 3: Cross multiply
    44,025x = 94,894.50 × 94,894.50
  4. Step 4: Simplify right side
    44,025x = 9,004,966,130.25
  5. Step 5: Solve for x
    x = 9,004,966,130.25/44,025
  6. Step 6: Final answer
    x = 204,542.10

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.