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Finding the Third Proportional to 21,294 and 32,239

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Solution

The third proportional to 21,294 and 32,239 is: 48,809.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,294 : 32,239 = 32,239 : x
  2. Step 2: Convert to fraction form
    21,294/32,239 = 32,239/x
  3. Step 3: Cross multiply
    21,294x = 32,239 × 32,239
  4. Step 4: Simplify right side
    21,294x = 1,039,353,121
  5. Step 5: Solve for x
    x = 1,039,353,121/21,294
  6. Step 6: Final answer
    x = 48,809.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.