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Finding the Third Proportional to 30,580.98 and 46,784.14

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Solution

The third proportional to 30,580.98 and 46,784.14 is: 71,572.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,580.98 : 46,784.14 = 46,784.14 : x
  2. Step 2: Convert to fraction form
    30,580.98/46,784.14 = 46,784.14/x
  3. Step 3: Cross multiply
    30,580.98x = 46,784.14 × 46,784.14
  4. Step 4: Simplify right side
    30,580.98x = 2,188,756,179.52
  5. Step 5: Solve for x
    x = 2,188,756,179.52/30,580.98
  6. Step 6: Final answer
    x = 71,572.47

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.