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Finding the Third Proportional to 19,678.25 and 42,466.25

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Solution

The third proportional to 19,678.25 and 42,466.25 is: 91,643.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,678.25 : 42,466.25 = 42,466.25 : x
  2. Step 2: Convert to fraction form
    19,678.25/42,466.25 = 42,466.25/x
  3. Step 3: Cross multiply
    19,678.25x = 42,466.25 × 42,466.25
  4. Step 4: Simplify right side
    19,678.25x = 1,803,382,389.06
  5. Step 5: Solve for x
    x = 1,803,382,389.06/19,678.25
  6. Step 6: Final answer
    x = 91,643.43

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.