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Finding the Third Proportional to 34,701.47 and 74,666.81

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Solution

The third proportional to 34,701.47 and 74,666.81 is: 160,659.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,701.47 : 74,666.81 = 74,666.81 : x
  2. Step 2: Convert to fraction form
    34,701.47/74,666.81 = 74,666.81/x
  3. Step 3: Cross multiply
    34,701.47x = 74,666.81 × 74,666.81
  4. Step 4: Simplify right side
    34,701.47x = 5,575,132,888.91
  5. Step 5: Solve for x
    x = 5,575,132,888.91/34,701.47
  6. Step 6: Final answer
    x = 160,659.85

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.