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Finding the Third Proportional to 11,336.63 and 15,970.50

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Solution

The third proportional to 11,336.63 and 15,970.50 is: 22,498.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,336.63 : 15,970.50 = 15,970.50 : x
  2. Step 2: Convert to fraction form
    11,336.63/15,970.50 = 15,970.50/x
  3. Step 3: Cross multiply
    11,336.63x = 15,970.50 × 15,970.50
  4. Step 4: Simplify right side
    11,336.63x = 255,056,870.25
  5. Step 5: Solve for x
    x = 255,056,870.25/11,336.63
  6. Step 6: Final answer
    x = 22,498.48

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.