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Finding the Third Proportional to 19,031 and 29,698.50

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Solution

The third proportional to 19,031 and 29,698.50 is: 46,345.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,031 : 29,698.50 = 29,698.50 : x
  2. Step 2: Convert to fraction form
    19,031/29,698.50 = 29,698.50/x
  3. Step 3: Cross multiply
    19,031x = 29,698.50 × 29,698.50
  4. Step 4: Simplify right side
    19,031x = 882,000,902.25
  5. Step 5: Solve for x
    x = 882,000,902.25/19,031
  6. Step 6: Final answer
    x = 46,345.48

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.