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Finding the Third Proportional to 32,973.96 and 77,760.95

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Solution

The third proportional to 32,973.96 and 77,760.95 is: 183,380.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,973.96 : 77,760.95 = 77,760.95 : x
  2. Step 2: Convert to fraction form
    32,973.96/77,760.95 = 77,760.95/x
  3. Step 3: Cross multiply
    32,973.96x = 77,760.95 × 77,760.95
  4. Step 4: Simplify right side
    32,973.96x = 6,046,765,223.40
  5. Step 5: Solve for x
    x = 6,046,765,223.40/32,973.96
  6. Step 6: Final answer
    x = 183,380.01

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.