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Finding the Third Proportional to 15,334 and 32,854

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Solution

The third proportional to 15,334 and 32,854 is: 70,391.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,334 : 32,854 = 32,854 : x
  2. Step 2: Convert to fraction form
    15,334/32,854 = 32,854/x
  3. Step 3: Cross multiply
    15,334x = 32,854 × 32,854
  4. Step 4: Simplify right side
    15,334x = 1,079,385,316
  5. Step 5: Solve for x
    x = 1,079,385,316/15,334
  6. Step 6: Final answer
    x = 70,391.63

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.