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Finding the Third Proportional to 14,742 and 21,681

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Solution

The third proportional to 14,742 and 21,681 is: 31,886.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,742 : 21,681 = 21,681 : x
  2. Step 2: Convert to fraction form
    14,742/21,681 = 21,681/x
  3. Step 3: Cross multiply
    14,742x = 21,681 × 21,681
  4. Step 4: Simplify right side
    14,742x = 470,065,761
  5. Step 5: Solve for x
    x = 470,065,761/14,742
  6. Step 6: Final answer
    x = 31,886.16

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.