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Finding the Third Proportional to 19,683 and 28,117.13

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Solution

The third proportional to 19,683 and 28,117.13 is: 40,165.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,683 : 28,117.13 = 28,117.13 : x
  2. Step 2: Convert to fraction form
    19,683/28,117.13 = 28,117.13/x
  3. Step 3: Cross multiply
    19,683x = 28,117.13 × 28,117.13
  4. Step 4: Simplify right side
    19,683x = 790,572,718.27
  5. Step 5: Solve for x
    x = 790,572,718.27/19,683
  6. Step 6: Final answer
    x = 40,165.26

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.