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Finding the Third Proportional to 28,634 and 42,820

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Solution

The third proportional to 28,634 and 42,820 is: 64,034.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,634 : 42,820 = 42,820 : x
  2. Step 2: Convert to fraction form
    28,634/42,820 = 42,820/x
  3. Step 3: Cross multiply
    28,634x = 42,820 × 42,820
  4. Step 4: Simplify right side
    28,634x = 1,833,552,400
  5. Step 5: Solve for x
    x = 1,833,552,400/28,634
  6. Step 6: Final answer
    x = 64,034.10

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Why These Related Problems?

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