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Finding the Third Proportional to 19,416 and 23,688

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Solution

The third proportional to 19,416 and 23,688 is: 28,899.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,416 : 23,688 = 23,688 : x
  2. Step 2: Convert to fraction form
    19,416/23,688 = 23,688/x
  3. Step 3: Cross multiply
    19,416x = 23,688 × 23,688
  4. Step 4: Simplify right side
    19,416x = 561,121,344
  5. Step 5: Solve for x
    x = 561,121,344/19,416
  6. Step 6: Final answer
    x = 28,899.95

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.