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Finding the Third Proportional to 30,379.22 and 45,567.56

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Solution

The third proportional to 30,379.22 and 45,567.56 is: 68,349.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,379.22 : 45,567.56 = 45,567.56 : x
  2. Step 2: Convert to fraction form
    30,379.22/45,567.56 = 45,567.56/x
  3. Step 3: Cross multiply
    30,379.22x = 45,567.56 × 45,567.56
  4. Step 4: Simplify right side
    30,379.22x = 2,076,402,752.19
  5. Step 5: Solve for x
    x = 2,076,402,752.19/30,379.22
  6. Step 6: Final answer
    x = 68,349.45

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Why These Related Problems?

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