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Finding the Third Proportional to 7,656 and 15,804

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Solution

The third proportional to 7,656 and 15,804 is: 32,623.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,656 : 15,804 = 15,804 : x
  2. Step 2: Convert to fraction form
    7,656/15,804 = 15,804/x
  3. Step 3: Cross multiply
    7,656x = 15,804 × 15,804
  4. Step 4: Simplify right side
    7,656x = 249,766,416
  5. Step 5: Solve for x
    x = 249,766,416/7,656
  6. Step 6: Final answer
    x = 32,623.62

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.