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Finding the Third Proportional to 29,959.88 and 46,739.53

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Solution

The third proportional to 29,959.88 and 46,739.53 is: 72,916.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,959.88 : 46,739.53 = 46,739.53 : x
  2. Step 2: Convert to fraction form
    29,959.88/46,739.53 = 46,739.53/x
  3. Step 3: Cross multiply
    29,959.88x = 46,739.53 × 46,739.53
  4. Step 4: Simplify right side
    29,959.88x = 2,184,583,781.47
  5. Step 5: Solve for x
    x = 2,184,583,781.47/29,959.88
  6. Step 6: Final answer
    x = 72,916.99

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.