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Finding the Third Proportional to 30,063.66 and 64,941.75

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Solution

The third proportional to 30,063.66 and 64,941.75 is: 140,283.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,063.66 : 64,941.75 = 64,941.75 : x
  2. Step 2: Convert to fraction form
    30,063.66/64,941.75 = 64,941.75/x
  3. Step 3: Cross multiply
    30,063.66x = 64,941.75 × 64,941.75
  4. Step 4: Simplify right side
    30,063.66x = 4,217,430,893.06
  5. Step 5: Solve for x
    x = 4,217,430,893.06/30,063.66
  6. Step 6: Final answer
    x = 140,283.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.