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Finding the Third Proportional to 30,798 and 47,784

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Solution

The third proportional to 30,798 and 47,784 is: 74,138.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,798 : 47,784 = 47,784 : x
  2. Step 2: Convert to fraction form
    30,798/47,784 = 47,784/x
  3. Step 3: Cross multiply
    30,798x = 47,784 × 47,784
  4. Step 4: Simplify right side
    30,798x = 2,283,310,656
  5. Step 5: Solve for x
    x = 2,283,310,656/30,798
  6. Step 6: Final answer
    x = 74,138.28

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.