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Finding the Third Proportional to 2,292 and 5,646

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Solution

The third proportional to 2,292 and 5,646 is: 13,908.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,292 : 5,646 = 5,646 : x
  2. Step 2: Convert to fraction form
    2,292/5,646 = 5,646/x
  3. Step 3: Cross multiply
    2,292x = 5,646 × 5,646
  4. Step 4: Simplify right side
    2,292x = 31,877,316
  5. Step 5: Solve for x
    x = 31,877,316/2,292
  6. Step 6: Final answer
    x = 13,908.08

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Why These Related Problems?

These problems maintain the same ratio (2.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.