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Finding the Third Proportional to 29,500.13 and 46,735.13

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Solution

The third proportional to 29,500.13 and 46,735.13 is: 74,039.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,500.13 : 46,735.13 = 46,735.13 : x
  2. Step 2: Convert to fraction form
    29,500.13/46,735.13 = 46,735.13/x
  3. Step 3: Cross multiply
    29,500.13x = 46,735.13 × 46,735.13
  4. Step 4: Simplify right side
    29,500.13x = 2,184,171,908.77
  5. Step 5: Solve for x
    x = 2,184,171,908.77/29,500.13
  6. Step 6: Final answer
    x = 74,039.41

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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.