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Finding the Third Proportional to 1,068.47 and 2,331.77

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Solution

The third proportional to 1,068.47 and 2,331.77 is: 5,088.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,068.47 : 2,331.77 = 2,331.77 : x
  2. Step 2: Convert to fraction form
    1,068.47/2,331.77 = 2,331.77/x
  3. Step 3: Cross multiply
    1,068.47x = 2,331.77 × 2,331.77
  4. Step 4: Simplify right side
    1,068.47x = 5,437,167.36
  5. Step 5: Solve for x
    x = 5,437,167.36/1,068.47
  6. Step 6: Final answer
    x = 5,088.75

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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.