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Finding the Third Proportional to 21,102 and 44,575.50

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Solution

The third proportional to 21,102 and 44,575.50 is: 94,160.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,102 : 44,575.50 = 44,575.50 : x
  2. Step 2: Convert to fraction form
    21,102/44,575.50 = 44,575.50/x
  3. Step 3: Cross multiply
    21,102x = 44,575.50 × 44,575.50
  4. Step 4: Simplify right side
    21,102x = 1,986,975,200.25
  5. Step 5: Solve for x
    x = 1,986,975,200.25/21,102
  6. Step 6: Final answer
    x = 94,160.52

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.