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Finding the Third Proportional to 47,702.75 and 70,095.50

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Solution

The third proportional to 47,702.75 and 70,095.50 is: 102,999.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,702.75 : 70,095.50 = 70,095.50 : x
  2. Step 2: Convert to fraction form
    47,702.75/70,095.50 = 70,095.50/x
  3. Step 3: Cross multiply
    47,702.75x = 70,095.50 × 70,095.50
  4. Step 4: Simplify right side
    47,702.75x = 4,913,379,120.25
  5. Step 5: Solve for x
    x = 4,913,379,120.25/47,702.75
  6. Step 6: Final answer
    x = 102,999.91

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