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Finding the Third Proportional to 14,784 and 32,562

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Solution

The third proportional to 14,784 and 32,562 is: 71,718.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,784 : 32,562 = 32,562 : x
  2. Step 2: Convert to fraction form
    14,784/32,562 = 32,562/x
  3. Step 3: Cross multiply
    14,784x = 32,562 × 32,562
  4. Step 4: Simplify right side
    14,784x = 1,060,283,844
  5. Step 5: Solve for x
    x = 1,060,283,844/14,784
  6. Step 6: Final answer
    x = 71,718.33

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.