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Finding the Third Proportional to 30,188.95 and 46,422.49

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Solution

The third proportional to 30,188.95 and 46,422.49 is: 71,385.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,188.95 : 46,422.49 = 46,422.49 : x
  2. Step 2: Convert to fraction form
    30,188.95/46,422.49 = 46,422.49/x
  3. Step 3: Cross multiply
    30,188.95x = 46,422.49 × 46,422.49
  4. Step 4: Simplify right side
    30,188.95x = 2,155,047,780.90
  5. Step 5: Solve for x
    x = 2,155,047,780.90/30,188.95
  6. Step 6: Final answer
    x = 71,385.31

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.