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Finding the Third Proportional to 39,858 and 85,440

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Solution

The third proportional to 39,858 and 85,440 is: 183,150.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,858 : 85,440 = 85,440 : x
  2. Step 2: Convert to fraction form
    39,858/85,440 = 85,440/x
  3. Step 3: Cross multiply
    39,858x = 85,440 × 85,440
  4. Step 4: Simplify right side
    39,858x = 7,299,993,600
  5. Step 5: Solve for x
    x = 7,299,993,600/39,858
  6. Step 6: Final answer
    x = 183,150.02

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.