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Finding the Third Proportional to 7,569.07 and 7,842.45

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Solution

The third proportional to 7,569.07 and 7,842.45 is: 8,125.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,569.07 : 7,842.45 = 7,842.45 : x
  2. Step 2: Convert to fraction form
    7,569.07/7,842.45 = 7,842.45/x
  3. Step 3: Cross multiply
    7,569.07x = 7,842.45 × 7,842.45
  4. Step 4: Simplify right side
    7,569.07x = 61,503,948.48
  5. Step 5: Solve for x
    x = 61,503,948.48/7,569.07
  6. Step 6: Final answer
    x = 8,125.69

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Why These Related Problems?

These problems maintain the same ratio (1.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.