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Finding the Third Proportional to 2,235.94 and 2,547.28

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Solution

The third proportional to 2,235.94 and 2,547.28 is: 2,901.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,235.94 : 2,547.28 = 2,547.28 : x
  2. Step 2: Convert to fraction form
    2,235.94/2,547.28 = 2,547.28/x
  3. Step 3: Cross multiply
    2,235.94x = 2,547.28 × 2,547.28
  4. Step 4: Simplify right side
    2,235.94x = 6,488,641.77
  5. Step 5: Solve for x
    x = 6,488,641.77/2,235.94
  6. Step 6: Final answer
    x = 2,901.98

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.