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Finding the Third Proportional to 29,666.25 and 46,201.50

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Solution

The third proportional to 29,666.25 and 46,201.50 is: 71,953.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,666.25 : 46,201.50 = 46,201.50 : x
  2. Step 2: Convert to fraction form
    29,666.25/46,201.50 = 46,201.50/x
  3. Step 3: Cross multiply
    29,666.25x = 46,201.50 × 46,201.50
  4. Step 4: Simplify right side
    29,666.25x = 2,134,578,602.25
  5. Step 5: Solve for x
    x = 2,134,578,602.25/29,666.25
  6. Step 6: Final answer
    x = 71,953.10

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.