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Finding the Third Proportional to 11,414 and 23,596

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Solution

The third proportional to 11,414 and 23,596 is: 48,779.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,414 : 23,596 = 23,596 : x
  2. Step 2: Convert to fraction form
    11,414/23,596 = 23,596/x
  3. Step 3: Cross multiply
    11,414x = 23,596 × 23,596
  4. Step 4: Simplify right side
    11,414x = 556,771,216
  5. Step 5: Solve for x
    x = 556,771,216/11,414
  6. Step 6: Final answer
    x = 48,779.68

Related Problems

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.