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Finding the Third Proportional to 12,971 and 15,532

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Solution

The third proportional to 12,971 and 15,532 is: 18,598.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,971 : 15,532 = 15,532 : x
  2. Step 2: Convert to fraction form
    12,971/15,532 = 15,532/x
  3. Step 3: Cross multiply
    12,971x = 15,532 × 15,532
  4. Step 4: Simplify right side
    12,971x = 241,243,024
  5. Step 5: Solve for x
    x = 241,243,024/12,971
  6. Step 6: Final answer
    x = 18,598.64

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Why These Related Problems?

These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.