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Finding the Third Proportional to 19,334 and 30,315

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Solution

The third proportional to 19,334 and 30,315 is: 47,532.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,334 : 30,315 = 30,315 : x
  2. Step 2: Convert to fraction form
    19,334/30,315 = 30,315/x
  3. Step 3: Cross multiply
    19,334x = 30,315 × 30,315
  4. Step 4: Simplify right side
    19,334x = 918,999,225
  5. Step 5: Solve for x
    x = 918,999,225/19,334
  6. Step 6: Final answer
    x = 47,532.80

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.