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Finding the Third Proportional to 12,417 and 26,611.50

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Solution

The third proportional to 12,417 and 26,611.50 is: 57,032.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,417 : 26,611.50 = 26,611.50 : x
  2. Step 2: Convert to fraction form
    12,417/26,611.50 = 26,611.50/x
  3. Step 3: Cross multiply
    12,417x = 26,611.50 × 26,611.50
  4. Step 4: Simplify right side
    12,417x = 708,171,932.25
  5. Step 5: Solve for x
    x = 708,171,932.25/12,417
  6. Step 6: Final answer
    x = 57,032.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.