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Finding the Third Proportional to 30,780.32 and 46,392.59

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Solution

The third proportional to 30,780.32 and 46,392.59 is: 69,923.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,780.32 : 46,392.59 = 46,392.59 : x
  2. Step 2: Convert to fraction form
    30,780.32/46,392.59 = 46,392.59/x
  3. Step 3: Cross multiply
    30,780.32x = 46,392.59 × 46,392.59
  4. Step 4: Simplify right side
    30,780.32x = 2,152,272,573.63
  5. Step 5: Solve for x
    x = 2,152,272,573.63/30,780.32
  6. Step 6: Final answer
    x = 69,923.67

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.