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Finding the Third Proportional to 19,527 and 30,283.50

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Solution

The third proportional to 19,527 and 30,283.50 is: 46,965.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,527 : 30,283.50 = 30,283.50 : x
  2. Step 2: Convert to fraction form
    19,527/30,283.50 = 30,283.50/x
  3. Step 3: Cross multiply
    19,527x = 30,283.50 × 30,283.50
  4. Step 4: Simplify right side
    19,527x = 917,090,372.25
  5. Step 5: Solve for x
    x = 917,090,372.25/19,527
  6. Step 6: Final answer
    x = 46,965.25

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.