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Finding the Third Proportional to 22,898.25 and 48,256.50

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Solution

The third proportional to 22,898.25 and 48,256.50 is: 101,697.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,898.25 : 48,256.50 = 48,256.50 : x
  2. Step 2: Convert to fraction form
    22,898.25/48,256.50 = 48,256.50/x
  3. Step 3: Cross multiply
    22,898.25x = 48,256.50 × 48,256.50
  4. Step 4: Simplify right side
    22,898.25x = 2,328,689,792.25
  5. Step 5: Solve for x
    x = 2,328,689,792.25/22,898.25
  6. Step 6: Final answer
    x = 101,697.28

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