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Finding the Third Proportional to 21,955.50 and 53,066.25

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Solution

The third proportional to 21,955.50 and 53,066.25 is: 128,260.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,955.50 : 53,066.25 = 53,066.25 : x
  2. Step 2: Convert to fraction form
    21,955.50/53,066.25 = 53,066.25/x
  3. Step 3: Cross multiply
    21,955.50x = 53,066.25 × 53,066.25
  4. Step 4: Simplify right side
    21,955.50x = 2,816,026,889.06
  5. Step 5: Solve for x
    x = 2,816,026,889.06/21,955.50
  6. Step 6: Final answer
    x = 128,260.66

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These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.