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Finding the Third Proportional to 29,159 and 46,420

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Solution

The third proportional to 29,159 and 46,420 is: 73,898.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,159 : 46,420 = 46,420 : x
  2. Step 2: Convert to fraction form
    29,159/46,420 = 46,420/x
  3. Step 3: Cross multiply
    29,159x = 46,420 × 46,420
  4. Step 4: Simplify right side
    29,159x = 2,154,816,400
  5. Step 5: Solve for x
    x = 2,154,816,400/29,159
  6. Step 6: Final answer
    x = 73,898.84

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.