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Finding the Third Proportional to 22,990.50 and 47,628

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Solution

The third proportional to 22,990.50 and 47,628 is: 98,667.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,990.50 : 47,628 = 47,628 : x
  2. Step 2: Convert to fraction form
    22,990.50/47,628 = 47,628/x
  3. Step 3: Cross multiply
    22,990.50x = 47,628 × 47,628
  4. Step 4: Simplify right side
    22,990.50x = 2,268,426,384
  5. Step 5: Solve for x
    x = 2,268,426,384/22,990.50
  6. Step 6: Final answer
    x = 98,667.99

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.