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Finding the Third Proportional to 29,697.75 and 43,210.13

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Solution

The third proportional to 29,697.75 and 43,210.13 is: 62,870.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,697.75 : 43,210.13 = 43,210.13 : x
  2. Step 2: Convert to fraction form
    29,697.75/43,210.13 = 43,210.13/x
  3. Step 3: Cross multiply
    29,697.75x = 43,210.13 × 43,210.13
  4. Step 4: Simplify right side
    29,697.75x = 1,867,114,902.52
  5. Step 5: Solve for x
    x = 1,867,114,902.52/29,697.75
  6. Step 6: Final answer
    x = 62,870.58

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.