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Finding the Third Proportional to 917.06 and 2,038.69

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Solution

The third proportional to 917.06 and 2,038.69 is: 4,532.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.06 : 2,038.69 = 2,038.69 : x
  2. Step 2: Convert to fraction form
    917.06/2,038.69 = 2,038.69/x
  3. Step 3: Cross multiply
    917.06x = 2,038.69 × 2,038.69
  4. Step 4: Simplify right side
    917.06x = 4,156,246.72
  5. Step 5: Solve for x
    x = 4,156,246.72/917.06
  6. Step 6: Final answer
    x = 4,532.13

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.