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Finding the Third Proportional to 45,784 and 61,056

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Solution

The third proportional to 45,784 and 61,056 is: 81,422.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,784 : 61,056 = 61,056 : x
  2. Step 2: Convert to fraction form
    45,784/61,056 = 61,056/x
  3. Step 3: Cross multiply
    45,784x = 61,056 × 61,056
  4. Step 4: Simplify right side
    45,784x = 3,727,835,136
  5. Step 5: Solve for x
    x = 3,727,835,136/45,784
  6. Step 6: Final answer
    x = 81,422.22

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.