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Finding the Third Proportional to 18,657 and 29,541.75

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Solution

The third proportional to 18,657 and 29,541.75 is: 46,776.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,657 : 29,541.75 = 29,541.75 : x
  2. Step 2: Convert to fraction form
    18,657/29,541.75 = 29,541.75/x
  3. Step 3: Cross multiply
    18,657x = 29,541.75 × 29,541.75
  4. Step 4: Simplify right side
    18,657x = 872,714,993.06
  5. Step 5: Solve for x
    x = 872,714,993.06/18,657
  6. Step 6: Final answer
    x = 46,776.81

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Why These Related Problems?

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