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Finding the Third Proportional to 50,304.75 and 70,507

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Solution

The third proportional to 50,304.75 and 70,507 is: 98,822.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,304.75 : 70,507 = 70,507 : x
  2. Step 2: Convert to fraction form
    50,304.75/70,507 = 70,507/x
  3. Step 3: Cross multiply
    50,304.75x = 70,507 × 70,507
  4. Step 4: Simplify right side
    50,304.75x = 4,971,237,049
  5. Step 5: Solve for x
    x = 4,971,237,049/50,304.75
  6. Step 6: Final answer
    x = 98,822.42

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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.