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Finding the Third Proportional to 46,682 and 70,887

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Solution

The third proportional to 46,682 and 70,887 is: 107,642.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,682 : 70,887 = 70,887 : x
  2. Step 2: Convert to fraction form
    46,682/70,887 = 70,887/x
  3. Step 3: Cross multiply
    46,682x = 70,887 × 70,887
  4. Step 4: Simplify right side
    46,682x = 5,024,966,769
  5. Step 5: Solve for x
    x = 5,024,966,769/46,682
  6. Step 6: Final answer
    x = 107,642.49

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.