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Finding the Third Proportional to 1,904.77 and 2,547.70

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Solution

The third proportional to 1,904.77 and 2,547.70 is: 3,407.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,904.77 : 2,547.70 = 2,547.70 : x
  2. Step 2: Convert to fraction form
    1,904.77/2,547.70 = 2,547.70/x
  3. Step 3: Cross multiply
    1,904.77x = 2,547.70 × 2,547.70
  4. Step 4: Simplify right side
    1,904.77x = 6,490,791.21
  5. Step 5: Solve for x
    x = 6,490,791.21/1,904.77
  6. Step 6: Final answer
    x = 3,407.66

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.