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Finding the Third Proportional to 48,603.80 and 65,319.54

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Solution

The third proportional to 48,603.80 and 65,319.54 is: 87,784.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,603.80 : 65,319.54 = 65,319.54 : x
  2. Step 2: Convert to fraction form
    48,603.80/65,319.54 = 65,319.54/x
  3. Step 3: Cross multiply
    48,603.80x = 65,319.54 × 65,319.54
  4. Step 4: Simplify right side
    48,603.80x = 4,266,642,183.34
  5. Step 5: Solve for x
    x = 4,266,642,183.34/48,603.80
  6. Step 6: Final answer
    x = 87,784.13

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.