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Finding the Third Proportional to 36,582 and 49,688

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Solution

The third proportional to 36,582 and 49,688 is: 67,489.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,582 : 49,688 = 49,688 : x
  2. Step 2: Convert to fraction form
    36,582/49,688 = 49,688/x
  3. Step 3: Cross multiply
    36,582x = 49,688 × 49,688
  4. Step 4: Simplify right side
    36,582x = 2,468,897,344
  5. Step 5: Solve for x
    x = 2,468,897,344/36,582
  6. Step 6: Final answer
    x = 67,489.40

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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.