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Finding the Third Proportional to 11,617 and 18,461.63

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Solution

The third proportional to 11,617 and 18,461.63 is: 29,339.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,617 : 18,461.63 = 18,461.63 : x
  2. Step 2: Convert to fraction form
    11,617/18,461.63 = 18,461.63/x
  3. Step 3: Cross multiply
    11,617x = 18,461.63 × 18,461.63
  4. Step 4: Simplify right side
    11,617x = 340,831,597.64
  5. Step 5: Solve for x
    x = 340,831,597.64/11,617
  6. Step 6: Final answer
    x = 29,339.04

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.