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Finding the Third Proportional to 12,854 and 19,730

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Solution

The third proportional to 12,854 and 19,730 is: 30,284.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,854 : 19,730 = 19,730 : x
  2. Step 2: Convert to fraction form
    12,854/19,730 = 19,730/x
  3. Step 3: Cross multiply
    12,854x = 19,730 × 19,730
  4. Step 4: Simplify right side
    12,854x = 389,272,900
  5. Step 5: Solve for x
    x = 389,272,900/12,854
  6. Step 6: Final answer
    x = 30,284.18

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.