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Finding the Third Proportional to 34,275 and 46,693

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Solution

The third proportional to 34,275 and 46,693 is: 63,610.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,275 : 46,693 = 46,693 : x
  2. Step 2: Convert to fraction form
    34,275/46,693 = 46,693/x
  3. Step 3: Cross multiply
    34,275x = 46,693 × 46,693
  4. Step 4: Simplify right side
    34,275x = 2,180,236,249
  5. Step 5: Solve for x
    x = 2,180,236,249/34,275
  6. Step 6: Final answer
    x = 63,610.10

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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.