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Finding the Third Proportional to 31,180.13 and 59,489.63

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Solution

The third proportional to 31,180.13 and 59,489.63 is: 113,502.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,180.13 : 59,489.63 = 59,489.63 : x
  2. Step 2: Convert to fraction form
    31,180.13/59,489.63 = 59,489.63/x
  3. Step 3: Cross multiply
    31,180.13x = 59,489.63 × 59,489.63
  4. Step 4: Simplify right side
    31,180.13x = 3,539,015,482.64
  5. Step 5: Solve for x
    x = 3,539,015,482.64/31,180.13
  6. Step 6: Final answer
    x = 113,502.29

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These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.