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Finding the Third Proportional to 15,406 and 32,860

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Solution

The third proportional to 15,406 and 32,860 is: 70,088.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,406 : 32,860 = 32,860 : x
  2. Step 2: Convert to fraction form
    15,406/32,860 = 32,860/x
  3. Step 3: Cross multiply
    15,406x = 32,860 × 32,860
  4. Step 4: Simplify right side
    15,406x = 1,079,779,600
  5. Step 5: Solve for x
    x = 1,079,779,600/15,406
  6. Step 6: Final answer
    x = 70,088.25

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.