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Finding the Third Proportional to 46,094.06 and 63,082.13

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Solution

The third proportional to 46,094.06 and 63,082.13 is: 86,331.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,094.06 : 63,082.13 = 63,082.13 : x
  2. Step 2: Convert to fraction form
    46,094.06/63,082.13 = 63,082.13/x
  3. Step 3: Cross multiply
    46,094.06x = 63,082.13 × 63,082.13
  4. Step 4: Simplify right side
    46,094.06x = 3,979,354,494.52
  5. Step 5: Solve for x
    x = 3,979,354,494.52/46,094.06
  6. Step 6: Final answer
    x = 86,331.17

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.