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Finding the Third Proportional to 19,683 and 30,526.88

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Solution

The third proportional to 19,683 and 30,526.88 is: 47,344.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,683 : 30,526.88 = 30,526.88 : x
  2. Step 2: Convert to fraction form
    19,683/30,526.88 = 30,526.88/x
  3. Step 3: Cross multiply
    19,683x = 30,526.88 × 30,526.88
  4. Step 4: Simplify right side
    19,683x = 931,890,097.27
  5. Step 5: Solve for x
    x = 931,890,097.27/19,683
  6. Step 6: Final answer
    x = 47,344.92

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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.