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Finding the Third Proportional to 802.88 and 1,669.88

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Solution

The third proportional to 802.88 and 1,669.88 is: 3,473.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.88 : 1,669.88 = 1,669.88 : x
  2. Step 2: Convert to fraction form
    802.88/1,669.88 = 1,669.88/x
  3. Step 3: Cross multiply
    802.88x = 1,669.88 × 1,669.88
  4. Step 4: Simplify right side
    802.88x = 2,788,482.52
  5. Step 5: Solve for x
    x = 2,788,482.52/802.88
  6. Step 6: Final answer
    x = 3,473.12

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.