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Finding the Third Proportional to 38,282.63 and 57,466.13

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Solution

The third proportional to 38,282.63 and 57,466.13 is: 86,262.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,282.63 : 57,466.13 = 57,466.13 : x
  2. Step 2: Convert to fraction form
    38,282.63/57,466.13 = 57,466.13/x
  3. Step 3: Cross multiply
    38,282.63x = 57,466.13 × 57,466.13
  4. Step 4: Simplify right side
    38,282.63x = 3,302,355,522.52
  5. Step 5: Solve for x
    x = 3,302,355,522.52/38,282.63
  6. Step 6: Final answer
    x = 86,262.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.