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Finding the Third Proportional to 29,664 and 47,133.50

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Solution

The third proportional to 29,664 and 47,133.50 is: 74,891.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,664 : 47,133.50 = 47,133.50 : x
  2. Step 2: Convert to fraction form
    29,664/47,133.50 = 47,133.50/x
  3. Step 3: Cross multiply
    29,664x = 47,133.50 × 47,133.50
  4. Step 4: Simplify right side
    29,664x = 2,221,566,822.25
  5. Step 5: Solve for x
    x = 2,221,566,822.25/29,664
  6. Step 6: Final answer
    x = 74,891.01

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.