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Finding the Third Proportional to 39,410 and 86,484.50

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Solution

The third proportional to 39,410 and 86,484.50 is: 189,788.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,410 : 86,484.50 = 86,484.50 : x
  2. Step 2: Convert to fraction form
    39,410/86,484.50 = 86,484.50/x
  3. Step 3: Cross multiply
    39,410x = 86,484.50 × 86,484.50
  4. Step 4: Simplify right side
    39,410x = 7,479,568,740.25
  5. Step 5: Solve for x
    x = 7,479,568,740.25/39,410
  6. Step 6: Final answer
    x = 189,788.60

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.