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Finding the Third Proportional to 34,406.63 and 53,176.13

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Solution

The third proportional to 34,406.63 and 53,176.13 is: 82,184.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,406.63 : 53,176.13 = 53,176.13 : x
  2. Step 2: Convert to fraction form
    34,406.63/53,176.13 = 53,176.13/x
  3. Step 3: Cross multiply
    34,406.63x = 53,176.13 × 53,176.13
  4. Step 4: Simplify right side
    34,406.63x = 2,827,700,270.02
  5. Step 5: Solve for x
    x = 2,827,700,270.02/34,406.63
  6. Step 6: Final answer
    x = 82,184.76

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.