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Finding the Third Proportional to 19,490 and 25,971

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Solution

The third proportional to 19,490 and 25,971 is: 34,607.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,490 : 25,971 = 25,971 : x
  2. Step 2: Convert to fraction form
    19,490/25,971 = 25,971/x
  3. Step 3: Cross multiply
    19,490x = 25,971 × 25,971
  4. Step 4: Simplify right side
    19,490x = 674,492,841
  5. Step 5: Solve for x
    x = 674,492,841/19,490
  6. Step 6: Final answer
    x = 34,607.12

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.