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Finding the Third Proportional to 31,786 and 48,534

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Solution

The third proportional to 31,786 and 48,534 is: 74,106.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,786 : 48,534 = 48,534 : x
  2. Step 2: Convert to fraction form
    31,786/48,534 = 48,534/x
  3. Step 3: Cross multiply
    31,786x = 48,534 × 48,534
  4. Step 4: Simplify right side
    31,786x = 2,355,549,156
  5. Step 5: Solve for x
    x = 2,355,549,156/31,786
  6. Step 6: Final answer
    x = 74,106.50

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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.