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Finding the Third Proportional to 48,611 and 69,513

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Solution

The third proportional to 48,611 and 69,513 is: 99,402.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,611 : 69,513 = 69,513 : x
  2. Step 2: Convert to fraction form
    48,611/69,513 = 69,513/x
  3. Step 3: Cross multiply
    48,611x = 69,513 × 69,513
  4. Step 4: Simplify right side
    48,611x = 4,832,057,169
  5. Step 5: Solve for x
    x = 4,832,057,169/48,611
  6. Step 6: Final answer
    x = 99,402.55

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.