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Finding the Third Proportional to 30,702.16 and 48,821.27

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Solution

The third proportional to 30,702.16 and 48,821.27 is: 77,633.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,702.16 : 48,821.27 = 48,821.27 : x
  2. Step 2: Convert to fraction form
    30,702.16/48,821.27 = 48,821.27/x
  3. Step 3: Cross multiply
    30,702.16x = 48,821.27 × 48,821.27
  4. Step 4: Simplify right side
    30,702.16x = 2,383,516,740.06
  5. Step 5: Solve for x
    x = 2,383,516,740.06/30,702.16
  6. Step 6: Final answer
    x = 77,633.51

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.