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Finding the Third Proportional to 14,784 and 32,340

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Solution

The third proportional to 14,784 and 32,340 is: 70,743.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,784 : 32,340 = 32,340 : x
  2. Step 2: Convert to fraction form
    14,784/32,340 = 32,340/x
  3. Step 3: Cross multiply
    14,784x = 32,340 × 32,340
  4. Step 4: Simplify right side
    14,784x = 1,045,875,600
  5. Step 5: Solve for x
    x = 1,045,875,600/14,784
  6. Step 6: Final answer
    x = 70,743.75

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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.