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Finding the Third Proportional to 29,655 and 46,185

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Solution

The third proportional to 29,655 and 46,185 is: 71,928.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,655 : 46,185 = 46,185 : x
  2. Step 2: Convert to fraction form
    29,655/46,185 = 46,185/x
  3. Step 3: Cross multiply
    29,655x = 46,185 × 46,185
  4. Step 4: Simplify right side
    29,655x = 2,133,054,225
  5. Step 5: Solve for x
    x = 2,133,054,225/29,655
  6. Step 6: Final answer
    x = 71,928.99

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.