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Finding the Third Proportional to 13,784 and 29,840

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Solution

The third proportional to 13,784 and 29,840 is: 64,598.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,784 : 29,840 = 29,840 : x
  2. Step 2: Convert to fraction form
    13,784/29,840 = 29,840/x
  3. Step 3: Cross multiply
    13,784x = 29,840 × 29,840
  4. Step 4: Simplify right side
    13,784x = 890,425,600
  5. Step 5: Solve for x
    x = 890,425,600/13,784
  6. Step 6: Final answer
    x = 64,598.49

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.