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Finding the Third Proportional to 2,294.16 and 4,977.28

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Solution

The third proportional to 2,294.16 and 4,977.28 is: 10,798.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,294.16 : 4,977.28 = 4,977.28 : x
  2. Step 2: Convert to fraction form
    2,294.16/4,977.28 = 4,977.28/x
  3. Step 3: Cross multiply
    2,294.16x = 4,977.28 × 4,977.28
  4. Step 4: Simplify right side
    2,294.16x = 24,773,328.64
  5. Step 5: Solve for x
    x = 24,773,328.64/2,294.16
  6. Step 6: Final answer
    x = 10,798.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.