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Finding the Third Proportional to 19,240 and 26,000

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Solution

The third proportional to 19,240 and 26,000 is: 35,135.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,240 : 26,000 = 26,000 : x
  2. Step 2: Convert to fraction form
    19,240/26,000 = 26,000/x
  3. Step 3: Cross multiply
    19,240x = 26,000 × 26,000
  4. Step 4: Simplify right side
    19,240x = 676,000,000
  5. Step 5: Solve for x
    x = 676,000,000/19,240
  6. Step 6: Final answer
    x = 35,135.14

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1.5x scale

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.