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Finding the Third Proportional to 28,584 and 42,714

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Solution

The third proportional to 28,584 and 42,714 is: 63,828.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,584 : 42,714 = 42,714 : x
  2. Step 2: Convert to fraction form
    28,584/42,714 = 42,714/x
  3. Step 3: Cross multiply
    28,584x = 42,714 × 42,714
  4. Step 4: Simplify right side
    28,584x = 1,824,485,796
  5. Step 5: Solve for x
    x = 1,824,485,796/28,584
  6. Step 6: Final answer
    x = 63,828.92

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.