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Finding the Third Proportional to 61,570.13 and 82,635.19

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Solution

The third proportional to 61,570.13 and 82,635.19 is: 110,907.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,570.13 : 82,635.19 = 82,635.19 : x
  2. Step 2: Convert to fraction form
    61,570.13/82,635.19 = 82,635.19/x
  3. Step 3: Cross multiply
    61,570.13x = 82,635.19 × 82,635.19
  4. Step 4: Simplify right side
    61,570.13x = 6,828,574,213.16
  5. Step 5: Solve for x
    x = 6,828,574,213.16/61,570.13
  6. Step 6: Final answer
    x = 110,907.27

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.