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Finding the Third Proportional to 14,706 and 32,056

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Solution

The third proportional to 14,706 and 32,056 is: 69,875.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,706 : 32,056 = 32,056 : x
  2. Step 2: Convert to fraction form
    14,706/32,056 = 32,056/x
  3. Step 3: Cross multiply
    14,706x = 32,056 × 32,056
  4. Step 4: Simplify right side
    14,706x = 1,027,587,136
  5. Step 5: Solve for x
    x = 1,027,587,136/14,706
  6. Step 6: Final answer
    x = 69,875.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.