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Finding the Third Proportional to 58,595.34 and 82,966.22

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Solution

The third proportional to 58,595.34 and 82,966.22 is: 117,473.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,595.34 : 82,966.22 = 82,966.22 : x
  2. Step 2: Convert to fraction form
    58,595.34/82,966.22 = 82,966.22/x
  3. Step 3: Cross multiply
    58,595.34x = 82,966.22 × 82,966.22
  4. Step 4: Simplify right side
    58,595.34x = 6,883,393,453.67
  5. Step 5: Solve for x
    x = 6,883,393,453.67/58,595.34
  6. Step 6: Final answer
    x = 117,473.39

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.