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Finding the Third Proportional to 33,347.81 and 78,719.63

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Solution

The third proportional to 33,347.81 and 78,719.63 is: 185,822.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,347.81 : 78,719.63 = 78,719.63 : x
  2. Step 2: Convert to fraction form
    33,347.81/78,719.63 = 78,719.63/x
  3. Step 3: Cross multiply
    33,347.81x = 78,719.63 × 78,719.63
  4. Step 4: Simplify right side
    33,347.81x = 6,196,779,360.14
  5. Step 5: Solve for x
    x = 6,196,779,360.14/33,347.81
  6. Step 6: Final answer
    x = 185,822.66

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.