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Finding the Third Proportional to 28,894 and 42,900

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Solution

The third proportional to 28,894 and 42,900 is: 63,695.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,894 : 42,900 = 42,900 : x
  2. Step 2: Convert to fraction form
    28,894/42,900 = 42,900/x
  3. Step 3: Cross multiply
    28,894x = 42,900 × 42,900
  4. Step 4: Simplify right side
    28,894x = 1,840,410,000
  5. Step 5: Solve for x
    x = 1,840,410,000/28,894
  6. Step 6: Final answer
    x = 63,695.23

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.