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Finding the Third Proportional to 9,946 and 15,409

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Solution

The third proportional to 9,946 and 15,409 is: 23,872.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,946 : 15,409 = 15,409 : x
  2. Step 2: Convert to fraction form
    9,946/15,409 = 15,409/x
  3. Step 3: Cross multiply
    9,946x = 15,409 × 15,409
  4. Step 4: Simplify right side
    9,946x = 237,437,281
  5. Step 5: Solve for x
    x = 237,437,281/9,946
  6. Step 6: Final answer
    x = 23,872.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.