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Finding the Third Proportional to 15,378.50 and 21,188

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Solution

The third proportional to 15,378.50 and 21,188 is: 29,192.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,378.50 : 21,188 = 21,188 : x
  2. Step 2: Convert to fraction form
    15,378.50/21,188 = 21,188/x
  3. Step 3: Cross multiply
    15,378.50x = 21,188 × 21,188
  4. Step 4: Simplify right side
    15,378.50x = 448,931,344
  5. Step 5: Solve for x
    x = 448,931,344/15,378.50
  6. Step 6: Final answer
    x = 29,192.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.