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Finding the Third Proportional to 29,534 and 44,300

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Solution

The third proportional to 29,534 and 44,300 is: 66,448.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,534 : 44,300 = 44,300 : x
  2. Step 2: Convert to fraction form
    29,534/44,300 = 44,300/x
  3. Step 3: Cross multiply
    29,534x = 44,300 × 44,300
  4. Step 4: Simplify right side
    29,534x = 1,962,490,000
  5. Step 5: Solve for x
    x = 1,962,490,000/29,534
  6. Step 6: Final answer
    x = 66,448.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.