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Finding the Third Proportional to 14,506 and 22,982

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Solution

The third proportional to 14,506 and 22,982 is: 36,410.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,506 : 22,982 = 22,982 : x
  2. Step 2: Convert to fraction form
    14,506/22,982 = 22,982/x
  3. Step 3: Cross multiply
    14,506x = 22,982 × 22,982
  4. Step 4: Simplify right side
    14,506x = 528,172,324
  5. Step 5: Solve for x
    x = 528,172,324/14,506
  6. Step 6: Final answer
    x = 36,410.61

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.