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Finding the Third Proportional to 6,929 and 10,877.50

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Solution

The third proportional to 6,929 and 10,877.50 is: 17,076.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,929 : 10,877.50 = 10,877.50 : x
  2. Step 2: Convert to fraction form
    6,929/10,877.50 = 10,877.50/x
  3. Step 3: Cross multiply
    6,929x = 10,877.50 × 10,877.50
  4. Step 4: Simplify right side
    6,929x = 118,320,006.25
  5. Step 5: Solve for x
    x = 118,320,006.25/6,929
  6. Step 6: Final answer
    x = 17,076.06

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.