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Finding the Third Proportional to 10,068.75 and 21,866.25

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Solution

The third proportional to 10,068.75 and 21,866.25 is: 47,486.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,068.75 : 21,866.25 = 21,866.25 : x
  2. Step 2: Convert to fraction form
    10,068.75/21,866.25 = 21,866.25/x
  3. Step 3: Cross multiply
    10,068.75x = 21,866.25 × 21,866.25
  4. Step 4: Simplify right side
    10,068.75x = 478,132,889.06
  5. Step 5: Solve for x
    x = 478,132,889.06/10,068.75
  6. Step 6: Final answer
    x = 47,486.82

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.