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Finding the Third Proportional to 19,196 and 25,518

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Solution

The third proportional to 19,196 and 25,518 is: 33,922.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,196 : 25,518 = 25,518 : x
  2. Step 2: Convert to fraction form
    19,196/25,518 = 25,518/x
  3. Step 3: Cross multiply
    19,196x = 25,518 × 25,518
  4. Step 4: Simplify right side
    19,196x = 651,168,324
  5. Step 5: Solve for x
    x = 651,168,324/19,196
  6. Step 6: Final answer
    x = 33,922.08

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1.5x scale

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.