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Finding the Third Proportional to 5,032.13 and 7,710.19

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Solution

The third proportional to 5,032.13 and 7,710.19 is: 11,813.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,032.13 : 7,710.19 = 7,710.19 : x
  2. Step 2: Convert to fraction form
    5,032.13/7,710.19 = 7,710.19/x
  3. Step 3: Cross multiply
    5,032.13x = 7,710.19 × 7,710.19
  4. Step 4: Simplify right side
    5,032.13x = 59,446,991.29
  5. Step 5: Solve for x
    x = 59,446,991.29/5,032.13
  6. Step 6: Final answer
    x = 11,813.50

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.