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Finding the Third Proportional to 28,413 and 36,085.50

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Solution

The third proportional to 28,413 and 36,085.50 is: 45,829.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,413 : 36,085.50 = 36,085.50 : x
  2. Step 2: Convert to fraction form
    28,413/36,085.50 = 36,085.50/x
  3. Step 3: Cross multiply
    28,413x = 36,085.50 × 36,085.50
  4. Step 4: Simplify right side
    28,413x = 1,302,163,310.25
  5. Step 5: Solve for x
    x = 1,302,163,310.25/28,413
  6. Step 6: Final answer
    x = 45,829.84

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.