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Finding the Third Proportional to 35,303.34 and 49,378.36

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Solution

The third proportional to 35,303.34 and 49,378.36 is: 69,064.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,303.34 : 49,378.36 = 49,378.36 : x
  2. Step 2: Convert to fraction form
    35,303.34/49,378.36 = 49,378.36/x
  3. Step 3: Cross multiply
    35,303.34x = 49,378.36 × 49,378.36
  4. Step 4: Simplify right side
    35,303.34x = 2,438,222,374.57
  5. Step 5: Solve for x
    x = 2,438,222,374.57/35,303.34
  6. Step 6: Final answer
    x = 69,064.91

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.