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Finding the Third Proportional to 12,484.55 and 26,746.03

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Solution

The third proportional to 12,484.55 and 26,746.03 is: 57,298.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,484.55 : 26,746.03 = 26,746.03 : x
  2. Step 2: Convert to fraction form
    12,484.55/26,746.03 = 26,746.03/x
  3. Step 3: Cross multiply
    12,484.55x = 26,746.03 × 26,746.03
  4. Step 4: Simplify right side
    12,484.55x = 715,350,187.63
  5. Step 5: Solve for x
    x = 715,350,187.63/12,484.55
  6. Step 6: Final answer
    x = 57,298.85

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.