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Finding the Third Proportional to 19,076 and 25,670

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Solution

The third proportional to 19,076 and 25,670 is: 34,543.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,076 : 25,670 = 25,670 : x
  2. Step 2: Convert to fraction form
    19,076/25,670 = 25,670/x
  3. Step 3: Cross multiply
    19,076x = 25,670 × 25,670
  4. Step 4: Simplify right side
    19,076x = 658,948,900
  5. Step 5: Solve for x
    x = 658,948,900/19,076
  6. Step 6: Final answer
    x = 34,543.35

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.