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Finding the Third Proportional to 29,873 and 45,853.88

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Solution

The third proportional to 29,873 and 45,853.88 is: 70,383.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,873 : 45,853.88 = 45,853.88 : x
  2. Step 2: Convert to fraction form
    29,873/45,853.88 = 45,853.88/x
  3. Step 3: Cross multiply
    29,873x = 45,853.88 × 45,853.88
  4. Step 4: Simplify right side
    29,873x = 2,102,577,852.52
  5. Step 5: Solve for x
    x = 2,102,577,852.52/29,873
  6. Step 6: Final answer
    x = 70,383.89

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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.