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Finding the Third Proportional to 21,664.13 and 45,859.50

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Solution

The third proportional to 21,664.13 and 45,859.50 is: 97,077.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,664.13 : 45,859.50 = 45,859.50 : x
  2. Step 2: Convert to fraction form
    21,664.13/45,859.50 = 45,859.50/x
  3. Step 3: Cross multiply
    21,664.13x = 45,859.50 × 45,859.50
  4. Step 4: Simplify right side
    21,664.13x = 2,103,093,740.25
  5. Step 5: Solve for x
    x = 2,103,093,740.25/21,664.13
  6. Step 6: Final answer
    x = 97,077.25

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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.