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Finding the Third Proportional to 9,309 and 14,323.50

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Solution

The third proportional to 9,309 and 14,323.50 is: 22,039.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,309 : 14,323.50 = 14,323.50 : x
  2. Step 2: Convert to fraction form
    9,309/14,323.50 = 14,323.50/x
  3. Step 3: Cross multiply
    9,309x = 14,323.50 × 14,323.50
  4. Step 4: Simplify right side
    9,309x = 205,162,652.25
  5. Step 5: Solve for x
    x = 205,162,652.25/9,309
  6. Step 6: Final answer
    x = 22,039.17

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.