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Finding the Third Proportional to 29,640 and 43,290

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Solution

The third proportional to 29,640 and 43,290 is: 63,226.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,640 : 43,290 = 43,290 : x
  2. Step 2: Convert to fraction form
    29,640/43,290 = 43,290/x
  3. Step 3: Cross multiply
    29,640x = 43,290 × 43,290
  4. Step 4: Simplify right side
    29,640x = 1,874,024,100
  5. Step 5: Solve for x
    x = 1,874,024,100/29,640
  6. Step 6: Final answer
    x = 63,226.18

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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.