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Finding the Third Proportional to 7,705.76 and 16,580.95

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Solution

The third proportional to 7,705.76 and 16,580.95 is: 35,678.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,705.76 : 16,580.95 = 16,580.95 : x
  2. Step 2: Convert to fraction form
    7,705.76/16,580.95 = 16,580.95/x
  3. Step 3: Cross multiply
    7,705.76x = 16,580.95 × 16,580.95
  4. Step 4: Simplify right side
    7,705.76x = 274,928,006.53
  5. Step 5: Solve for x
    x = 274,928,006.53/7,705.76
  6. Step 6: Final answer
    x = 35,678.26

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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.