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Finding the Third Proportional to 30,341.25 and 47,496.38

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Solution

The third proportional to 30,341.25 and 47,496.38 is: 74,351.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,341.25 : 47,496.38 = 47,496.38 : x
  2. Step 2: Convert to fraction form
    30,341.25/47,496.38 = 47,496.38/x
  3. Step 3: Cross multiply
    30,341.25x = 47,496.38 × 47,496.38
  4. Step 4: Simplify right side
    30,341.25x = 2,255,905,638.14
  5. Step 5: Solve for x
    x = 2,255,905,638.14/30,341.25
  6. Step 6: Final answer
    x = 74,351.11

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Why These Related Problems?

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