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Finding the Third Proportional to 30,702.66 and 48,822.19

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Solution

The third proportional to 30,702.66 and 48,822.19 is: 77,635.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,702.66 : 48,822.19 = 48,822.19 : x
  2. Step 2: Convert to fraction form
    30,702.66/48,822.19 = 48,822.19/x
  3. Step 3: Cross multiply
    30,702.66x = 48,822.19 × 48,822.19
  4. Step 4: Simplify right side
    30,702.66x = 2,383,605,992.29
  5. Step 5: Solve for x
    x = 2,383,605,992.29/30,702.66
  6. Step 6: Final answer
    x = 77,635.17

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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.