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Finding the Third Proportional to 10,671.64 and 15,618.22

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Solution

The third proportional to 10,671.64 and 15,618.22 is: 22,857.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,671.64 : 15,618.22 = 15,618.22 : x
  2. Step 2: Convert to fraction form
    10,671.64/15,618.22 = 15,618.22/x
  3. Step 3: Cross multiply
    10,671.64x = 15,618.22 × 15,618.22
  4. Step 4: Simplify right side
    10,671.64x = 243,928,653.02
  5. Step 5: Solve for x
    x = 243,928,653.02/10,671.64
  6. Step 6: Final answer
    x = 22,857.66

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.