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Finding the Third Proportional to 4,706 and 8,746

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Solution

The third proportional to 4,706 and 8,746 is: 16,254.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,706 : 8,746 = 8,746 : x
  2. Step 2: Convert to fraction form
    4,706/8,746 = 8,746/x
  3. Step 3: Cross multiply
    4,706x = 8,746 × 8,746
  4. Step 4: Simplify right side
    4,706x = 76,492,516
  5. Step 5: Solve for x
    x = 76,492,516/4,706
  6. Step 6: Final answer
    x = 16,254.25

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.