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Finding the Third Proportional to 31,887 and 65,070

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Solution

The third proportional to 31,887 and 65,070 is: 132,784.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,887 : 65,070 = 65,070 : x
  2. Step 2: Convert to fraction form
    31,887/65,070 = 65,070/x
  3. Step 3: Cross multiply
    31,887x = 65,070 × 65,070
  4. Step 4: Simplify right side
    31,887x = 4,234,104,900
  5. Step 5: Solve for x
    x = 4,234,104,900/31,887
  6. Step 6: Final answer
    x = 132,784.67

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.