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Finding the Third Proportional to 6,432 and 14,095.50

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Solution

The third proportional to 6,432 and 14,095.50 is: 30,889.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,432 : 14,095.50 = 14,095.50 : x
  2. Step 2: Convert to fraction form
    6,432/14,095.50 = 14,095.50/x
  3. Step 3: Cross multiply
    6,432x = 14,095.50 × 14,095.50
  4. Step 4: Simplify right side
    6,432x = 198,683,120.25
  5. Step 5: Solve for x
    x = 198,683,120.25/6,432
  6. Step 6: Final answer
    x = 30,889.79

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.