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Finding the Third Proportional to 14,784 and 32,442

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Solution

The third proportional to 14,784 and 32,442 is: 71,190.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,784 : 32,442 = 32,442 : x
  2. Step 2: Convert to fraction form
    14,784/32,442 = 32,442/x
  3. Step 3: Cross multiply
    14,784x = 32,442 × 32,442
  4. Step 4: Simplify right side
    14,784x = 1,052,483,364
  5. Step 5: Solve for x
    x = 1,052,483,364/14,784
  6. Step 6: Final answer
    x = 71,190.70

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.