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Finding the Third Proportional to 20,497.50 and 44,829

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Solution

The third proportional to 20,497.50 and 44,829 is: 98,043.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,497.50 : 44,829 = 44,829 : x
  2. Step 2: Convert to fraction form
    20,497.50/44,829 = 44,829/x
  3. Step 3: Cross multiply
    20,497.50x = 44,829 × 44,829
  4. Step 4: Simplify right side
    20,497.50x = 2,009,639,241
  5. Step 5: Solve for x
    x = 2,009,639,241/20,497.50
  6. Step 6: Final answer
    x = 98,043.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.