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Finding the Third Proportional to 20,312.50 and 48,929.50

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Solution

The third proportional to 20,312.50 and 48,929.50 is: 117,863.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,312.50 : 48,929.50 = 48,929.50 : x
  2. Step 2: Convert to fraction form
    20,312.50/48,929.50 = 48,929.50/x
  3. Step 3: Cross multiply
    20,312.50x = 48,929.50 × 48,929.50
  4. Step 4: Simplify right side
    20,312.50x = 2,394,095,970.25
  5. Step 5: Solve for x
    x = 2,394,095,970.25/20,312.50
  6. Step 6: Final answer
    x = 117,863.19

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.