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Finding the Third Proportional to 29,369.50 and 47,289

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Solution

The third proportional to 29,369.50 and 47,289 is: 76,141.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,369.50 : 47,289 = 47,289 : x
  2. Step 2: Convert to fraction form
    29,369.50/47,289 = 47,289/x
  3. Step 3: Cross multiply
    29,369.50x = 47,289 × 47,289
  4. Step 4: Simplify right side
    29,369.50x = 2,236,249,521
  5. Step 5: Solve for x
    x = 2,236,249,521/29,369.50
  6. Step 6: Final answer
    x = 76,141.90

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.