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Finding the Third Proportional to 39,362 and 85,030

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Solution

The third proportional to 39,362 and 85,030 is: 183,682.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,362 : 85,030 = 85,030 : x
  2. Step 2: Convert to fraction form
    39,362/85,030 = 85,030/x
  3. Step 3: Cross multiply
    39,362x = 85,030 × 85,030
  4. Step 4: Simplify right side
    39,362x = 7,230,100,900
  5. Step 5: Solve for x
    x = 7,230,100,900/39,362
  6. Step 6: Final answer
    x = 183,682.25

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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.