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Finding the Third Proportional to 7,701.75 and 10,113.75

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Solution

The third proportional to 7,701.75 and 10,113.75 is: 13,281.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,701.75 : 10,113.75 = 10,113.75 : x
  2. Step 2: Convert to fraction form
    7,701.75/10,113.75 = 10,113.75/x
  3. Step 3: Cross multiply
    7,701.75x = 10,113.75 × 10,113.75
  4. Step 4: Simplify right side
    7,701.75x = 102,287,939.06
  5. Step 5: Solve for x
    x = 102,287,939.06/7,701.75
  6. Step 6: Final answer
    x = 13,281.13

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.