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Finding the Third Proportional to 30,893.06 and 45,246.09

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Solution

The third proportional to 30,893.06 and 45,246.09 is: 66,267.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,893.06 : 45,246.09 = 45,246.09 : x
  2. Step 2: Convert to fraction form
    30,893.06/45,246.09 = 45,246.09/x
  3. Step 3: Cross multiply
    30,893.06x = 45,246.09 × 45,246.09
  4. Step 4: Simplify right side
    30,893.06x = 2,047,208,999.63
  5. Step 5: Solve for x
    x = 2,047,208,999.63/30,893.06
  6. Step 6: Final answer
    x = 66,267.60

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.