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Finding the Third Proportional to 1,153.30 and 2,473.19

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Solution

The third proportional to 1,153.30 and 2,473.19 is: 5,303.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153.30 : 2,473.19 = 2,473.19 : x
  2. Step 2: Convert to fraction form
    1,153.30/2,473.19 = 2,473.19/x
  3. Step 3: Cross multiply
    1,153.30x = 2,473.19 × 2,473.19
  4. Step 4: Simplify right side
    1,153.30x = 6,116,666.07
  5. Step 5: Solve for x
    x = 6,116,666.07/1,153.30
  6. Step 6: Final answer
    x = 5,303.62

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.