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Finding the Third Proportional to 8,746.31 and 13,123.13

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Solution

The third proportional to 8,746.31 and 13,123.13 is: 19,690.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,746.31 : 13,123.13 = 13,123.13 : x
  2. Step 2: Convert to fraction form
    8,746.31/13,123.13 = 13,123.13/x
  3. Step 3: Cross multiply
    8,746.31x = 13,123.13 × 13,123.13
  4. Step 4: Simplify right side
    8,746.31x = 172,216,409.77
  5. Step 5: Solve for x
    x = 172,216,409.77/8,746.31
  6. Step 6: Final answer
    x = 19,690.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.