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Finding the Third Proportional to 19,491 and 28,507.50

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Solution

The third proportional to 19,491 and 28,507.50 is: 41,695.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,491 : 28,507.50 = 28,507.50 : x
  2. Step 2: Convert to fraction form
    19,491/28,507.50 = 28,507.50/x
  3. Step 3: Cross multiply
    19,491x = 28,507.50 × 28,507.50
  4. Step 4: Simplify right side
    19,491x = 812,677,556.25
  5. Step 5: Solve for x
    x = 812,677,556.25/19,491
  6. Step 6: Final answer
    x = 41,695.02

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.