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Finding the Third Proportional to 30,641.63 and 42,963.75

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Solution

The third proportional to 30,641.63 and 42,963.75 is: 60,241.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,641.63 : 42,963.75 = 42,963.75 : x
  2. Step 2: Convert to fraction form
    30,641.63/42,963.75 = 42,963.75/x
  3. Step 3: Cross multiply
    30,641.63x = 42,963.75 × 42,963.75
  4. Step 4: Simplify right side
    30,641.63x = 1,845,883,814.06
  5. Step 5: Solve for x
    x = 1,845,883,814.06/30,641.63
  6. Step 6: Final answer
    x = 60,241.05

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.