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Finding the Third Proportional to 10,588 and 19,340

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Solution

The third proportional to 10,588 and 19,340 is: 35,326.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,588 : 19,340 = 19,340 : x
  2. Step 2: Convert to fraction form
    10,588/19,340 = 19,340/x
  3. Step 3: Cross multiply
    10,588x = 19,340 × 19,340
  4. Step 4: Simplify right side
    10,588x = 374,035,600
  5. Step 5: Solve for x
    x = 374,035,600/10,588
  6. Step 6: Final answer
    x = 35,326.37

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.