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Finding the Third Proportional to 19,527 and 29,205.75

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Solution

The third proportional to 19,527 and 29,205.75 is: 43,681.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,527 : 29,205.75 = 29,205.75 : x
  2. Step 2: Convert to fraction form
    19,527/29,205.75 = 29,205.75/x
  3. Step 3: Cross multiply
    19,527x = 29,205.75 × 29,205.75
  4. Step 4: Simplify right side
    19,527x = 852,975,833.06
  5. Step 5: Solve for x
    x = 852,975,833.06/19,527
  6. Step 6: Final answer
    x = 43,681.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.