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Finding the Third Proportional to 29,214 and 45,768

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Solution

The third proportional to 29,214 and 45,768 is: 71,702.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,214 : 45,768 = 45,768 : x
  2. Step 2: Convert to fraction form
    29,214/45,768 = 45,768/x
  3. Step 3: Cross multiply
    29,214x = 45,768 × 45,768
  4. Step 4: Simplify right side
    29,214x = 2,094,709,824
  5. Step 5: Solve for x
    x = 2,094,709,824/29,214
  6. Step 6: Final answer
    x = 71,702.26

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.