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Finding the Third Proportional to 7,516.13 and 9,735.19

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Solution

The third proportional to 7,516.13 and 9,735.19 is: 12,609.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,516.13 : 9,735.19 = 9,735.19 : x
  2. Step 2: Convert to fraction form
    7,516.13/9,735.19 = 9,735.19/x
  3. Step 3: Cross multiply
    7,516.13x = 9,735.19 × 9,735.19
  4. Step 4: Simplify right side
    7,516.13x = 94,773,875.66
  5. Step 5: Solve for x
    x = 94,773,875.66/7,516.13
  6. Step 6: Final answer
    x = 12,609.41

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.