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Finding the Third Proportional to 18,507.38 and 29,435.06

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Solution

The third proportional to 18,507.38 and 29,435.06 is: 46,815.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,507.38 : 29,435.06 = 29,435.06 : x
  2. Step 2: Convert to fraction form
    18,507.38/29,435.06 = 29,435.06/x
  3. Step 3: Cross multiply
    18,507.38x = 29,435.06 × 29,435.06
  4. Step 4: Simplify right side
    18,507.38x = 866,422,904.38
  5. Step 5: Solve for x
    x = 866,422,904.38/18,507.38
  6. Step 6: Final answer
    x = 46,815.01

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.