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Finding the Third Proportional to 29,500 and 45,148

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Solution

The third proportional to 29,500 and 45,148 is: 69,096.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,500 : 45,148 = 45,148 : x
  2. Step 2: Convert to fraction form
    29,500/45,148 = 45,148/x
  3. Step 3: Cross multiply
    29,500x = 45,148 × 45,148
  4. Step 4: Simplify right side
    29,500x = 2,038,341,904
  5. Step 5: Solve for x
    x = 2,038,341,904/29,500
  6. Step 6: Final answer
    x = 69,096.34

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.