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Finding the Third Proportional to 28,735 and 42,008

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Solution

The third proportional to 28,735 and 42,008 is: 61,411.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,735 : 42,008 = 42,008 : x
  2. Step 2: Convert to fraction form
    28,735/42,008 = 42,008/x
  3. Step 3: Cross multiply
    28,735x = 42,008 × 42,008
  4. Step 4: Simplify right side
    28,735x = 1,764,672,064
  5. Step 5: Solve for x
    x = 1,764,672,064/28,735
  6. Step 6: Final answer
    x = 61,411.94

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.