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Finding the Third Proportional to 5,072.63 and 7,901.30

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Solution

The third proportional to 5,072.63 and 7,901.30 is: 12,307.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,072.63 : 7,901.30 = 7,901.30 : x
  2. Step 2: Convert to fraction form
    5,072.63/7,901.30 = 7,901.30/x
  3. Step 3: Cross multiply
    5,072.63x = 7,901.30 × 7,901.30
  4. Step 4: Simplify right side
    5,072.63x = 62,430,492.31
  5. Step 5: Solve for x
    x = 62,430,492.31/5,072.63
  6. Step 6: Final answer
    x = 12,307.33

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.