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Finding the Third Proportional to 9,501 and 13,051.50

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Solution

The third proportional to 9,501 and 13,051.50 is: 17,928.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,501 : 13,051.50 = 13,051.50 : x
  2. Step 2: Convert to fraction form
    9,501/13,051.50 = 13,051.50/x
  3. Step 3: Cross multiply
    9,501x = 13,051.50 × 13,051.50
  4. Step 4: Simplify right side
    9,501x = 170,341,652.25
  5. Step 5: Solve for x
    x = 170,341,652.25/9,501
  6. Step 6: Final answer
    x = 17,928.81

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.