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Finding the Third Proportional to 39,324 and 86,030

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Solution

The third proportional to 39,324 and 86,030 is: 188,209.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,324 : 86,030 = 86,030 : x
  2. Step 2: Convert to fraction form
    39,324/86,030 = 86,030/x
  3. Step 3: Cross multiply
    39,324x = 86,030 × 86,030
  4. Step 4: Simplify right side
    39,324x = 7,401,160,900
  5. Step 5: Solve for x
    x = 7,401,160,900/39,324
  6. Step 6: Final answer
    x = 188,209.77

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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.