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Finding the Third Proportional to 7,701.75 and 12,242.63

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Solution

The third proportional to 7,701.75 and 12,242.63 is: 19,460.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,701.75 : 12,242.63 = 12,242.63 : x
  2. Step 2: Convert to fraction form
    7,701.75/12,242.63 = 12,242.63/x
  3. Step 3: Cross multiply
    7,701.75x = 12,242.63 × 12,242.63
  4. Step 4: Simplify right side
    7,701.75x = 149,881,866.89
  5. Step 5: Solve for x
    x = 149,881,866.89/7,701.75
  6. Step 6: Final answer
    x = 19,460.75

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.