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Finding the Third Proportional to 4,876.30 and 10,492.63

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Solution

The third proportional to 4,876.30 and 10,492.63 is: 22,577.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,876.30 : 10,492.63 = 10,492.63 : x
  2. Step 2: Convert to fraction form
    4,876.30/10,492.63 = 10,492.63/x
  3. Step 3: Cross multiply
    4,876.30x = 10,492.63 × 10,492.63
  4. Step 4: Simplify right side
    4,876.30x = 110,095,376.64
  5. Step 5: Solve for x
    x = 110,095,376.64/4,876.30
  6. Step 6: Final answer
    x = 22,577.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.