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Finding the Third Proportional to 39,768 and 63,300

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Solution

The third proportional to 39,768 and 63,300 is: 100,756.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,768 : 63,300 = 63,300 : x
  2. Step 2: Convert to fraction form
    39,768/63,300 = 63,300/x
  3. Step 3: Cross multiply
    39,768x = 63,300 × 63,300
  4. Step 4: Simplify right side
    39,768x = 4,006,890,000
  5. Step 5: Solve for x
    x = 4,006,890,000/39,768
  6. Step 6: Final answer
    x = 100,756.64

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.