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Finding the Third Proportional to 30,342.75 and 47,498.63

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Solution

The third proportional to 30,342.75 and 47,498.63 is: 74,354.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,342.75 : 47,498.63 = 47,498.63 : x
  2. Step 2: Convert to fraction form
    30,342.75/47,498.63 = 47,498.63/x
  3. Step 3: Cross multiply
    30,342.75x = 47,498.63 × 47,498.63
  4. Step 4: Simplify right side
    30,342.75x = 2,256,119,376.89
  5. Step 5: Solve for x
    x = 2,256,119,376.89/30,342.75
  6. Step 6: Final answer
    x = 74,354.48

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.