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Finding the Third Proportional to 39,548 and 53,688

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Solution

The third proportional to 39,548 and 53,688 is: 72,883.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,548 : 53,688 = 53,688 : x
  2. Step 2: Convert to fraction form
    39,548/53,688 = 53,688/x
  3. Step 3: Cross multiply
    39,548x = 53,688 × 53,688
  4. Step 4: Simplify right side
    39,548x = 2,882,401,344
  5. Step 5: Solve for x
    x = 2,882,401,344/39,548
  6. Step 6: Final answer
    x = 72,883.62

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.