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Finding the Third Proportional to 19,200 and 30,528

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Solution

The third proportional to 19,200 and 30,528 is: 48,539.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,200 : 30,528 = 30,528 : x
  2. Step 2: Convert to fraction form
    19,200/30,528 = 30,528/x
  3. Step 3: Cross multiply
    19,200x = 30,528 × 30,528
  4. Step 4: Simplify right side
    19,200x = 931,958,784
  5. Step 5: Solve for x
    x = 931,958,784/19,200
  6. Step 6: Final answer
    x = 48,539.52

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.