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Finding the Third Proportional to 21,827.50 and 47,133

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Solution

The third proportional to 21,827.50 and 47,133 is: 101,776.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,827.50 : 47,133 = 47,133 : x
  2. Step 2: Convert to fraction form
    21,827.50/47,133 = 47,133/x
  3. Step 3: Cross multiply
    21,827.50x = 47,133 × 47,133
  4. Step 4: Simplify right side
    21,827.50x = 2,221,519,689
  5. Step 5: Solve for x
    x = 2,221,519,689/21,827.50
  6. Step 6: Final answer
    x = 101,776.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.