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Finding the Third Proportional to 30,386 and 63,843

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Solution

The third proportional to 30,386 and 63,843 is: 134,138.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,386 : 63,843 = 63,843 : x
  2. Step 2: Convert to fraction form
    30,386/63,843 = 63,843/x
  3. Step 3: Cross multiply
    30,386x = 63,843 × 63,843
  4. Step 4: Simplify right side
    30,386x = 4,075,928,649
  5. Step 5: Solve for x
    x = 4,075,928,649/30,386
  6. Step 6: Final answer
    x = 134,138.37

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.