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Finding the Third Proportional to 21,838.50 and 45,085.50

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Solution

The third proportional to 21,838.50 and 45,085.50 is: 93,078.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,838.50 : 45,085.50 = 45,085.50 : x
  2. Step 2: Convert to fraction form
    21,838.50/45,085.50 = 45,085.50/x
  3. Step 3: Cross multiply
    21,838.50x = 45,085.50 × 45,085.50
  4. Step 4: Simplify right side
    21,838.50x = 2,032,702,310.25
  5. Step 5: Solve for x
    x = 2,032,702,310.25/21,838.50
  6. Step 6: Final answer
    x = 93,078.84

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.