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Finding the Third Proportional to 34,030.13 and 49,857.19

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Solution

The third proportional to 34,030.13 and 49,857.19 is: 73,045.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,030.13 : 49,857.19 = 49,857.19 : x
  2. Step 2: Convert to fraction form
    34,030.13/49,857.19 = 49,857.19/x
  3. Step 3: Cross multiply
    34,030.13x = 49,857.19 × 49,857.19
  4. Step 4: Simplify right side
    34,030.13x = 2,485,739,145.41
  5. Step 5: Solve for x
    x = 2,485,739,145.41/34,030.13
  6. Step 6: Final answer
    x = 73,045.25

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.