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Finding the Third Proportional to 30,375 and 62,253.56

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Solution

The third proportional to 30,375 and 62,253.56 is: 127,588.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,375 : 62,253.56 = 62,253.56 : x
  2. Step 2: Convert to fraction form
    30,375/62,253.56 = 62,253.56/x
  3. Step 3: Cross multiply
    30,375x = 62,253.56 × 62,253.56
  4. Step 4: Simplify right side
    30,375x = 3,875,506,043.94
  5. Step 5: Solve for x
    x = 3,875,506,043.94/30,375
  6. Step 6: Final answer
    x = 127,588.68

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.