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Finding the Third Proportional to 12,493.13 and 15,788.81

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Solution

The third proportional to 12,493.13 and 15,788.81 is: 19,953.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,493.13 : 15,788.81 = 15,788.81 : x
  2. Step 2: Convert to fraction form
    12,493.13/15,788.81 = 15,788.81/x
  3. Step 3: Cross multiply
    12,493.13x = 15,788.81 × 15,788.81
  4. Step 4: Simplify right side
    12,493.13x = 249,286,600.16
  5. Step 5: Solve for x
    x = 249,286,600.16/12,493.13
  6. Step 6: Final answer
    x = 19,953.90

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These problems maintain the same ratio (1.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.