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Finding the Third Proportional to 19,035 and 27,973.50

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Solution

The third proportional to 19,035 and 27,973.50 is: 41,109.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,035 : 27,973.50 = 27,973.50 : x
  2. Step 2: Convert to fraction form
    19,035/27,973.50 = 27,973.50/x
  3. Step 3: Cross multiply
    19,035x = 27,973.50 × 27,973.50
  4. Step 4: Simplify right side
    19,035x = 782,516,702.25
  5. Step 5: Solve for x
    x = 782,516,702.25/19,035
  6. Step 6: Final answer
    x = 41,109.36

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.