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Finding the Third Proportional to 29,504.25 and 46,740.38

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Solution

The third proportional to 29,504.25 and 46,740.38 is: 74,045.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,504.25 : 46,740.38 = 46,740.38 : x
  2. Step 2: Convert to fraction form
    29,504.25/46,740.38 = 46,740.38/x
  3. Step 3: Cross multiply
    29,504.25x = 46,740.38 × 46,740.38
  4. Step 4: Simplify right side
    29,504.25x = 2,184,662,655.14
  5. Step 5: Solve for x
    x = 2,184,662,655.14/29,504.25
  6. Step 6: Final answer
    x = 74,045.69

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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.