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Finding the Third Proportional to 48,480 and 71,184

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Solution

The third proportional to 48,480 and 71,184 is: 104,520.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,480 : 71,184 = 71,184 : x
  2. Step 2: Convert to fraction form
    48,480/71,184 = 71,184/x
  3. Step 3: Cross multiply
    48,480x = 71,184 × 71,184
  4. Step 4: Simplify right side
    48,480x = 5,067,161,856
  5. Step 5: Solve for x
    x = 5,067,161,856/48,480
  6. Step 6: Final answer
    x = 104,520.67

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.