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Finding the Third Proportional to 29,312 and 66,800

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Solution

The third proportional to 29,312 and 66,800 is: 152,232.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,312 : 66,800 = 66,800 : x
  2. Step 2: Convert to fraction form
    29,312/66,800 = 66,800/x
  3. Step 3: Cross multiply
    29,312x = 66,800 × 66,800
  4. Step 4: Simplify right side
    29,312x = 4,462,240,000
  5. Step 5: Solve for x
    x = 4,462,240,000/29,312
  6. Step 6: Final answer
    x = 152,232.53

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.