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Finding the Third Proportional to 19,774.13 and 26,503.14

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Solution

The third proportional to 19,774.13 and 26,503.14 is: 35,521.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,774.13 : 26,503.14 = 26,503.14 : x
  2. Step 2: Convert to fraction form
    19,774.13/26,503.14 = 26,503.14/x
  3. Step 3: Cross multiply
    19,774.13x = 26,503.14 × 26,503.14
  4. Step 4: Simplify right side
    19,774.13x = 702,416,255.93
  5. Step 5: Solve for x
    x = 702,416,255.93/19,774.13
  6. Step 6: Final answer
    x = 35,521.99

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.