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Finding the Third Proportional to 48,391 and 76,043

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Solution

The third proportional to 48,391 and 76,043 is: 119,496.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,391 : 76,043 = 76,043 : x
  2. Step 2: Convert to fraction form
    48,391/76,043 = 76,043/x
  3. Step 3: Cross multiply
    48,391x = 76,043 × 76,043
  4. Step 4: Simplify right side
    48,391x = 5,782,537,849
  5. Step 5: Solve for x
    x = 5,782,537,849/48,391
  6. Step 6: Final answer
    x = 119,496.14

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.