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Finding the Third Proportional to 29,888 and 45,056

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Solution

The third proportional to 29,888 and 45,056 is: 67,921.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,888 : 45,056 = 45,056 : x
  2. Step 2: Convert to fraction form
    29,888/45,056 = 45,056/x
  3. Step 3: Cross multiply
    29,888x = 45,056 × 45,056
  4. Step 4: Simplify right side
    29,888x = 2,030,043,136
  5. Step 5: Solve for x
    x = 2,030,043,136/29,888
  6. Step 6: Final answer
    x = 67,921.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.