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Finding the Third Proportional to 21,802.50 and 46,221.75

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Solution

The third proportional to 21,802.50 and 46,221.75 is: 97,991.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,802.50 : 46,221.75 = 46,221.75 : x
  2. Step 2: Convert to fraction form
    21,802.50/46,221.75 = 46,221.75/x
  3. Step 3: Cross multiply
    21,802.50x = 46,221.75 × 46,221.75
  4. Step 4: Simplify right side
    21,802.50x = 2,136,450,173.06
  5. Step 5: Solve for x
    x = 2,136,450,173.06/21,802.50
  6. Step 6: Final answer
    x = 97,991.06

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.