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Finding the Third Proportional to 40,947 and 62,513

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Solution

The third proportional to 40,947 and 62,513 is: 95,437.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,947 : 62,513 = 62,513 : x
  2. Step 2: Convert to fraction form
    40,947/62,513 = 62,513/x
  3. Step 3: Cross multiply
    40,947x = 62,513 × 62,513
  4. Step 4: Simplify right side
    40,947x = 3,907,875,169
  5. Step 5: Solve for x
    x = 3,907,875,169/40,947
  6. Step 6: Final answer
    x = 95,437.40

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.