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Finding the Third Proportional to 19,761 and 46,648

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Solution

The third proportional to 19,761 and 46,648 is: 110,117.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,761 : 46,648 = 46,648 : x
  2. Step 2: Convert to fraction form
    19,761/46,648 = 46,648/x
  3. Step 3: Cross multiply
    19,761x = 46,648 × 46,648
  4. Step 4: Simplify right side
    19,761x = 2,176,035,904
  5. Step 5: Solve for x
    x = 2,176,035,904/19,761
  6. Step 6: Final answer
    x = 110,117.70

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.