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Finding the Third Proportional to 13,030 and 25,408

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Solution

The third proportional to 13,030 and 25,408 is: 49,544.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,030 : 25,408 = 25,408 : x
  2. Step 2: Convert to fraction form
    13,030/25,408 = 25,408/x
  3. Step 3: Cross multiply
    13,030x = 25,408 × 25,408
  4. Step 4: Simplify right side
    13,030x = 645,566,464
  5. Step 5: Solve for x
    x = 645,566,464/13,030
  6. Step 6: Final answer
    x = 49,544.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.