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Finding the Third Proportional to 864.84 and 1,603.13

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Solution

The third proportional to 864.84 and 1,603.13 is: 2,971.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.84 : 1,603.13 = 1,603.13 : x
  2. Step 2: Convert to fraction form
    864.84/1,603.13 = 1,603.13/x
  3. Step 3: Cross multiply
    864.84x = 1,603.13 × 1,603.13
  4. Step 4: Simplify right side
    864.84x = 2,570,009.77
  5. Step 5: Solve for x
    x = 2,570,009.77/864.84
  6. Step 6: Final answer
    x = 2,971.65

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.