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Finding the Third Proportional to 38,025 and 84,784.50

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Solution

The third proportional to 38,025 and 84,784.50 is: 189,044.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,025 : 84,784.50 = 84,784.50 : x
  2. Step 2: Convert to fraction form
    38,025/84,784.50 = 84,784.50/x
  3. Step 3: Cross multiply
    38,025x = 84,784.50 × 84,784.50
  4. Step 4: Simplify right side
    38,025x = 7,188,411,440.25
  5. Step 5: Solve for x
    x = 7,188,411,440.25/38,025
  6. Step 6: Final answer
    x = 189,044.35

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.