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Finding the Third Proportional to 36,677 and 49,528

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Solution

The third proportional to 36,677 and 49,528 is: 66,881.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,677 : 49,528 = 49,528 : x
  2. Step 2: Convert to fraction form
    36,677/49,528 = 49,528/x
  3. Step 3: Cross multiply
    36,677x = 49,528 × 49,528
  4. Step 4: Simplify right side
    36,677x = 2,453,022,784
  5. Step 5: Solve for x
    x = 2,453,022,784/36,677
  6. Step 6: Final answer
    x = 66,881.77

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.