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Finding the Third Proportional to 14,818 and 32,390

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Solution

The third proportional to 14,818 and 32,390 is: 70,799.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,818 : 32,390 = 32,390 : x
  2. Step 2: Convert to fraction form
    14,818/32,390 = 32,390/x
  3. Step 3: Cross multiply
    14,818x = 32,390 × 32,390
  4. Step 4: Simplify right side
    14,818x = 1,049,112,100
  5. Step 5: Solve for x
    x = 1,049,112,100/14,818
  6. Step 6: Final answer
    x = 70,799.84

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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.