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Finding the Third Proportional to 9,035 and 13,484.50

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Solution

The third proportional to 9,035 and 13,484.50 is: 20,125.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,035 : 13,484.50 = 13,484.50 : x
  2. Step 2: Convert to fraction form
    9,035/13,484.50 = 13,484.50/x
  3. Step 3: Cross multiply
    9,035x = 13,484.50 × 13,484.50
  4. Step 4: Simplify right side
    9,035x = 181,831,740.25
  5. Step 5: Solve for x
    x = 181,831,740.25/9,035
  6. Step 6: Final answer
    x = 20,125.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.