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Finding the Third Proportional to 39,844.50 and 62,184

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Solution

The third proportional to 39,844.50 and 62,184 is: 97,048.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,844.50 : 62,184 = 62,184 : x
  2. Step 2: Convert to fraction form
    39,844.50/62,184 = 62,184/x
  3. Step 3: Cross multiply
    39,844.50x = 62,184 × 62,184
  4. Step 4: Simplify right side
    39,844.50x = 3,866,849,856
  5. Step 5: Solve for x
    x = 3,866,849,856/39,844.50
  6. Step 6: Final answer
    x = 97,048.52

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.