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Finding the Third Proportional to 29,196 and 46,236

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Solution

The third proportional to 29,196 and 46,236 is: 73,221.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,196 : 46,236 = 46,236 : x
  2. Step 2: Convert to fraction form
    29,196/46,236 = 46,236/x
  3. Step 3: Cross multiply
    29,196x = 46,236 × 46,236
  4. Step 4: Simplify right side
    29,196x = 2,137,767,696
  5. Step 5: Solve for x
    x = 2,137,767,696/29,196
  6. Step 6: Final answer
    x = 73,221.25

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.