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Finding the Third Proportional to 19,281 and 26,266.50

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Solution

The third proportional to 19,281 and 26,266.50 is: 35,782.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,281 : 26,266.50 = 26,266.50 : x
  2. Step 2: Convert to fraction form
    19,281/26,266.50 = 26,266.50/x
  3. Step 3: Cross multiply
    19,281x = 26,266.50 × 26,266.50
  4. Step 4: Simplify right side
    19,281x = 689,929,022.25
  5. Step 5: Solve for x
    x = 689,929,022.25/19,281
  6. Step 6: Final answer
    x = 35,782.84

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.