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Finding the Third Proportional to 47,097.50 and 70,751.50

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Solution

The third proportional to 47,097.50 and 70,751.50 is: 106,285.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,097.50 : 70,751.50 = 70,751.50 : x
  2. Step 2: Convert to fraction form
    47,097.50/70,751.50 = 70,751.50/x
  3. Step 3: Cross multiply
    47,097.50x = 70,751.50 × 70,751.50
  4. Step 4: Simplify right side
    47,097.50x = 5,005,774,752.25
  5. Step 5: Solve for x
    x = 5,005,774,752.25/47,097.50
  6. Step 6: Final answer
    x = 106,285.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.