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Finding the Third Proportional to 30,013.45 and 43,470.84

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Solution

The third proportional to 30,013.45 and 43,470.84 is: 62,962.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,013.45 : 43,470.84 = 43,470.84 : x
  2. Step 2: Convert to fraction form
    30,013.45/43,470.84 = 43,470.84/x
  3. Step 3: Cross multiply
    30,013.45x = 43,470.84 × 43,470.84
  4. Step 4: Simplify right side
    30,013.45x = 1,889,714,256.34
  5. Step 5: Solve for x
    x = 1,889,714,256.34/30,013.45
  6. Step 6: Final answer
    x = 62,962.24

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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.