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Finding the Third Proportional to 976.13 and 1,534.13

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Solution

The third proportional to 976.13 and 1,534.13 is: 2,411.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.13 : 1,534.13 = 1,534.13 : x
  2. Step 2: Convert to fraction form
    976.13/1,534.13 = 1,534.13/x
  3. Step 3: Cross multiply
    976.13x = 1,534.13 × 1,534.13
  4. Step 4: Simplify right side
    976.13x = 2,353,539.52
  5. Step 5: Solve for x
    x = 2,353,539.52/976.13
  6. Step 6: Final answer
    x = 2,411.10

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.