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Finding the Third Proportional to 7,087.34 and 10,425.74

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Solution

The third proportional to 7,087.34 and 10,425.74 is: 15,336.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,087.34 : 10,425.74 = 10,425.74 : x
  2. Step 2: Convert to fraction form
    7,087.34/10,425.74 = 10,425.74/x
  3. Step 3: Cross multiply
    7,087.34x = 10,425.74 × 10,425.74
  4. Step 4: Simplify right side
    7,087.34x = 108,696,140.89
  5. Step 5: Solve for x
    x = 108,696,140.89/7,087.34
  6. Step 6: Final answer
    x = 15,336.66

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.