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Finding the Third Proportional to 11,646 and 15,295.50

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Solution

The third proportional to 11,646 and 15,295.50 is: 20,088.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,646 : 15,295.50 = 15,295.50 : x
  2. Step 2: Convert to fraction form
    11,646/15,295.50 = 15,295.50/x
  3. Step 3: Cross multiply
    11,646x = 15,295.50 × 15,295.50
  4. Step 4: Simplify right side
    11,646x = 233,952,320.25
  5. Step 5: Solve for x
    x = 233,952,320.25/11,646
  6. Step 6: Final answer
    x = 20,088.64

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.