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Finding the Third Proportional to 49,326.47 and 70,295.34

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Solution

The third proportional to 49,326.47 and 70,295.34 is: 100,178.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,326.47 : 70,295.34 = 70,295.34 : x
  2. Step 2: Convert to fraction form
    49,326.47/70,295.34 = 70,295.34/x
  3. Step 3: Cross multiply
    49,326.47x = 70,295.34 × 70,295.34
  4. Step 4: Simplify right side
    49,326.47x = 4,941,435,352.93
  5. Step 5: Solve for x
    x = 4,941,435,352.93/49,326.47
  6. Step 6: Final answer
    x = 100,178.17

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.