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Finding the Third Proportional to 39,516 and 85,590

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Solution

The third proportional to 39,516 and 85,590 is: 185,384.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,516 : 85,590 = 85,590 : x
  2. Step 2: Convert to fraction form
    39,516/85,590 = 85,590/x
  3. Step 3: Cross multiply
    39,516x = 85,590 × 85,590
  4. Step 4: Simplify right side
    39,516x = 7,325,648,100
  5. Step 5: Solve for x
    x = 7,325,648,100/39,516
  6. Step 6: Final answer
    x = 185,384.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.