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Finding the Third Proportional to 19,516 and 41,071.50

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Solution

The third proportional to 19,516 and 41,071.50 is: 86,435.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,516 : 41,071.50 = 41,071.50 : x
  2. Step 2: Convert to fraction form
    19,516/41,071.50 = 41,071.50/x
  3. Step 3: Cross multiply
    19,516x = 41,071.50 × 41,071.50
  4. Step 4: Simplify right side
    19,516x = 1,686,868,112.25
  5. Step 5: Solve for x
    x = 1,686,868,112.25/19,516
  6. Step 6: Final answer
    x = 86,435.14

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.