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Finding the Third Proportional to 21,972.75 and 46,564.50

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Solution

The third proportional to 21,972.75 and 46,564.50 is: 98,679.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,972.75 : 46,564.50 = 46,564.50 : x
  2. Step 2: Convert to fraction form
    21,972.75/46,564.50 = 46,564.50/x
  3. Step 3: Cross multiply
    21,972.75x = 46,564.50 × 46,564.50
  4. Step 4: Simplify right side
    21,972.75x = 2,168,252,660.25
  5. Step 5: Solve for x
    x = 2,168,252,660.25/21,972.75
  6. Step 6: Final answer
    x = 98,679.17

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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.