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Finding the Third Proportional to 2,547.56 and 5,373.56

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Solution

The third proportional to 2,547.56 and 5,373.56 is: 11,334.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,547.56 : 5,373.56 = 5,373.56 : x
  2. Step 2: Convert to fraction form
    2,547.56/5,373.56 = 5,373.56/x
  3. Step 3: Cross multiply
    2,547.56x = 5,373.56 × 5,373.56
  4. Step 4: Simplify right side
    2,547.56x = 28,875,173.94
  5. Step 5: Solve for x
    x = 28,875,173.94/2,547.56
  6. Step 6: Final answer
    x = 11,334.43

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.