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Finding the Third Proportional to 915.47 and 1,895.81

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Solution

The third proportional to 915.47 and 1,895.81 is: 3,925.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    915.47 : 1,895.81 = 1,895.81 : x
  2. Step 2: Convert to fraction form
    915.47/1,895.81 = 1,895.81/x
  3. Step 3: Cross multiply
    915.47x = 1,895.81 × 1,895.81
  4. Step 4: Simplify right side
    915.47x = 3,594,105.04
  5. Step 5: Solve for x
    x = 3,594,105.04/915.47
  6. Step 6: Final answer
    x = 3,925.97

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.