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Finding the Third Proportional to 23,669.50 and 51,389

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Solution

The third proportional to 23,669.50 and 51,389 is: 111,570.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,669.50 : 51,389 = 51,389 : x
  2. Step 2: Convert to fraction form
    23,669.50/51,389 = 51,389/x
  3. Step 3: Cross multiply
    23,669.50x = 51,389 × 51,389
  4. Step 4: Simplify right side
    23,669.50x = 2,640,829,321
  5. Step 5: Solve for x
    x = 2,640,829,321/23,669.50
  6. Step 6: Final answer
    x = 111,570.98

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.