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Finding the Third Proportional to 1,094.77 and 2,547.07

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Solution

The third proportional to 1,094.77 and 2,547.07 is: 5,925.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.77 : 2,547.07 = 2,547.07 : x
  2. Step 2: Convert to fraction form
    1,094.77/2,547.07 = 2,547.07/x
  3. Step 3: Cross multiply
    1,094.77x = 2,547.07 × 2,547.07
  4. Step 4: Simplify right side
    1,094.77x = 6,487,567.18
  5. Step 5: Solve for x
    x = 6,487,567.18/1,094.77
  6. Step 6: Final answer
    x = 5,925.99

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.