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Finding the Third Proportional to 7,705.76 and 14,813.51

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Solution

The third proportional to 7,705.76 and 14,813.51 is: 28,477.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,705.76 : 14,813.51 = 14,813.51 : x
  2. Step 2: Convert to fraction form
    7,705.76/14,813.51 = 14,813.51/x
  3. Step 3: Cross multiply
    7,705.76x = 14,813.51 × 14,813.51
  4. Step 4: Simplify right side
    7,705.76x = 219,440,013.71
  5. Step 5: Solve for x
    x = 219,440,013.71/7,705.76
  6. Step 6: Final answer
    x = 28,477.41

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.