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Finding the Third Proportional to 32,210 and 51,243

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Solution

The third proportional to 32,210 and 51,243 is: 81,522.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,210 : 51,243 = 51,243 : x
  2. Step 2: Convert to fraction form
    32,210/51,243 = 51,243/x
  3. Step 3: Cross multiply
    32,210x = 51,243 × 51,243
  4. Step 4: Simplify right side
    32,210x = 2,625,845,049
  5. Step 5: Solve for x
    x = 2,625,845,049/32,210
  6. Step 6: Final answer
    x = 81,522.67

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.