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Finding the Third Proportional to 15,205 and 24,290

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Solution

The third proportional to 15,205 and 24,290 is: 38,803.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,205 : 24,290 = 24,290 : x
  2. Step 2: Convert to fraction form
    15,205/24,290 = 24,290/x
  3. Step 3: Cross multiply
    15,205x = 24,290 × 24,290
  4. Step 4: Simplify right side
    15,205x = 590,004,100
  5. Step 5: Solve for x
    x = 590,004,100/15,205
  6. Step 6: Final answer
    x = 38,803.29

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.