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Finding the Third Proportional to 8,032.13 and 12,360.38

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Solution

The third proportional to 8,032.13 and 12,360.38 is: 19,020.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,032.13 : 12,360.38 = 12,360.38 : x
  2. Step 2: Convert to fraction form
    8,032.13/12,360.38 = 12,360.38/x
  3. Step 3: Cross multiply
    8,032.13x = 12,360.38 × 12,360.38
  4. Step 4: Simplify right side
    8,032.13x = 152,778,870.14
  5. Step 5: Solve for x
    x = 152,778,870.14/8,032.13
  6. Step 6: Final answer
    x = 19,020.98

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.