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Finding the Third Proportional to 28,421 and 42,631

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Solution

The third proportional to 28,421 and 42,631 is: 63,945.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,421 : 42,631 = 42,631 : x
  2. Step 2: Convert to fraction form
    28,421/42,631 = 42,631/x
  3. Step 3: Cross multiply
    28,421x = 42,631 × 42,631
  4. Step 4: Simplify right side
    28,421x = 1,817,402,161
  5. Step 5: Solve for x
    x = 1,817,402,161/28,421
  6. Step 6: Final answer
    x = 63,945.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.