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Finding the Third Proportional to 26,748 and 63,056

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Solution

The third proportional to 26,748 and 63,056 is: 148,648.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,748 : 63,056 = 63,056 : x
  2. Step 2: Convert to fraction form
    26,748/63,056 = 63,056/x
  3. Step 3: Cross multiply
    26,748x = 63,056 × 63,056
  4. Step 4: Simplify right side
    26,748x = 3,976,059,136
  5. Step 5: Solve for x
    x = 3,976,059,136/26,748
  6. Step 6: Final answer
    x = 148,648.84

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.