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Finding the Third Proportional to 39,854 and 93,947

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Solution

The third proportional to 39,854 and 93,947 is: 221,459.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,854 : 93,947 = 93,947 : x
  2. Step 2: Convert to fraction form
    39,854/93,947 = 93,947/x
  3. Step 3: Cross multiply
    39,854x = 93,947 × 93,947
  4. Step 4: Simplify right side
    39,854x = 8,826,038,809
  5. Step 5: Solve for x
    x = 8,826,038,809/39,854
  6. Step 6: Final answer
    x = 221,459.30

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.