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Finding the Third Proportional to 9,049 and 13,070.50

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Solution

The third proportional to 9,049 and 13,070.50 is: 18,879.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,049 : 13,070.50 = 13,070.50 : x
  2. Step 2: Convert to fraction form
    9,049/13,070.50 = 13,070.50/x
  3. Step 3: Cross multiply
    9,049x = 13,070.50 × 13,070.50
  4. Step 4: Simplify right side
    9,049x = 170,837,970.25
  5. Step 5: Solve for x
    x = 170,837,970.25/9,049
  6. Step 6: Final answer
    x = 18,879.21

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.