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Finding the Third Proportional to 931.69 and 2,030.06

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Solution

The third proportional to 931.69 and 2,030.06 is: 4,423.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.69 : 2,030.06 = 2,030.06 : x
  2. Step 2: Convert to fraction form
    931.69/2,030.06 = 2,030.06/x
  3. Step 3: Cross multiply
    931.69x = 2,030.06 × 2,030.06
  4. Step 4: Simplify right side
    931.69x = 4,121,153.75
  5. Step 5: Solve for x
    x = 4,121,153.75/931.69
  6. Step 6: Final answer
    x = 4,423.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.