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Finding the Third Proportional to 21,153.75 and 45,223.50

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Solution

The third proportional to 21,153.75 and 45,223.50 is: 96,680.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,153.75 : 45,223.50 = 45,223.50 : x
  2. Step 2: Convert to fraction form
    21,153.75/45,223.50 = 45,223.50/x
  3. Step 3: Cross multiply
    21,153.75x = 45,223.50 × 45,223.50
  4. Step 4: Simplify right side
    21,153.75x = 2,045,164,952.25
  5. Step 5: Solve for x
    x = 2,045,164,952.25/21,153.75
  6. Step 6: Final answer
    x = 96,680.96

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.