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Finding the Third Proportional to 46,053 and 72,785.25

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Solution

The third proportional to 46,053 and 72,785.25 is: 115,034.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,053 : 72,785.25 = 72,785.25 : x
  2. Step 2: Convert to fraction form
    46,053/72,785.25 = 72,785.25/x
  3. Step 3: Cross multiply
    46,053x = 72,785.25 × 72,785.25
  4. Step 4: Simplify right side
    46,053x = 5,297,692,617.56
  5. Step 5: Solve for x
    x = 5,297,692,617.56/46,053
  6. Step 6: Final answer
    x = 115,034.69

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.