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Finding the Third Proportional to 9,532.69 and 15,060.94

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Solution

The third proportional to 9,532.69 and 15,060.94 is: 23,795.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,532.69 : 15,060.94 = 15,060.94 : x
  2. Step 2: Convert to fraction form
    9,532.69/15,060.94 = 15,060.94/x
  3. Step 3: Cross multiply
    9,532.69x = 15,060.94 × 15,060.94
  4. Step 4: Simplify right side
    9,532.69x = 226,831,838.38
  5. Step 5: Solve for x
    x = 226,831,838.38/9,532.69
  6. Step 6: Final answer
    x = 23,795.16

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.