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Finding the Third Proportional to 9,971 and 15,429

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Solution

The third proportional to 9,971 and 15,429 is: 23,874.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,971 : 15,429 = 15,429 : x
  2. Step 2: Convert to fraction form
    9,971/15,429 = 15,429/x
  3. Step 3: Cross multiply
    9,971x = 15,429 × 15,429
  4. Step 4: Simplify right side
    9,971x = 238,054,041
  5. Step 5: Solve for x
    x = 238,054,041/9,971
  6. Step 6: Final answer
    x = 23,874.64

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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.