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Finding the Third Proportional to 34,952.34 and 74,802.66

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Solution

The third proportional to 34,952.34 and 74,802.66 is: 160,087.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,952.34 : 74,802.66 = 74,802.66 : x
  2. Step 2: Convert to fraction form
    34,952.34/74,802.66 = 74,802.66/x
  3. Step 3: Cross multiply
    34,952.34x = 74,802.66 × 74,802.66
  4. Step 4: Simplify right side
    34,952.34x = 5,595,437,382.06
  5. Step 5: Solve for x
    x = 5,595,437,382.06/34,952.34
  6. Step 6: Final answer
    x = 160,087.62

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.