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Finding the Third Proportional to 29,533.50 and 39,789

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Solution

The third proportional to 29,533.50 and 39,789 is: 53,605.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,533.50 : 39,789 = 39,789 : x
  2. Step 2: Convert to fraction form
    29,533.50/39,789 = 39,789/x
  3. Step 3: Cross multiply
    29,533.50x = 39,789 × 39,789
  4. Step 4: Simplify right side
    29,533.50x = 1,583,164,521
  5. Step 5: Solve for x
    x = 1,583,164,521/29,533.50
  6. Step 6: Final answer
    x = 53,605.72

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.