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Finding the Third Proportional to 569.63 and 1,229.13

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Solution

The third proportional to 569.63 and 1,229.13 is: 2,652.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.63 : 1,229.13 = 1,229.13 : x
  2. Step 2: Convert to fraction form
    569.63/1,229.13 = 1,229.13/x
  3. Step 3: Cross multiply
    569.63x = 1,229.13 × 1,229.13
  4. Step 4: Simplify right side
    569.63x = 1,510,748.27
  5. Step 5: Solve for x
    x = 1,510,748.27/569.63
  6. Step 6: Final answer
    x = 2,652.18

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.