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Finding the Third Proportional to 34,699.50 and 74,664

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Solution

The third proportional to 34,699.50 and 74,664 is: 160,656.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,699.50 : 74,664 = 74,664 : x
  2. Step 2: Convert to fraction form
    34,699.50/74,664 = 74,664/x
  3. Step 3: Cross multiply
    34,699.50x = 74,664 × 74,664
  4. Step 4: Simplify right side
    34,699.50x = 5,574,712,896
  5. Step 5: Solve for x
    x = 5,574,712,896/34,699.50
  6. Step 6: Final answer
    x = 160,656.87

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Why These Related Problems?

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