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Finding the Third Proportional to 47,842.50 and 70,379.63

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Solution

The third proportional to 47,842.50 and 70,379.63 is: 103,533.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,842.50 : 70,379.63 = 70,379.63 : x
  2. Step 2: Convert to fraction form
    47,842.50/70,379.63 = 70,379.63/x
  3. Step 3: Cross multiply
    47,842.50x = 70,379.63 × 70,379.63
  4. Step 4: Simplify right side
    47,842.50x = 4,953,291,615.14
  5. Step 5: Solve for x
    x = 4,953,291,615.14/47,842.50
  6. Step 6: Final answer
    x = 103,533.29

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Why These Related Problems?

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