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Finding the Third Proportional to 6,070.50 and 12,875.25

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Solution

The third proportional to 6,070.50 and 12,875.25 is: 27,307.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,070.50 : 12,875.25 = 12,875.25 : x
  2. Step 2: Convert to fraction form
    6,070.50/12,875.25 = 12,875.25/x
  3. Step 3: Cross multiply
    6,070.50x = 12,875.25 × 12,875.25
  4. Step 4: Simplify right side
    6,070.50x = 165,772,062.56
  5. Step 5: Solve for x
    x = 165,772,062.56/6,070.50
  6. Step 6: Final answer
    x = 27,307.81

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.