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Finding the Third Proportional to 19,748 and 26,094

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Solution

The third proportional to 19,748 and 26,094 is: 34,479.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,748 : 26,094 = 26,094 : x
  2. Step 2: Convert to fraction form
    19,748/26,094 = 26,094/x
  3. Step 3: Cross multiply
    19,748x = 26,094 × 26,094
  4. Step 4: Simplify right side
    19,748x = 680,896,836
  5. Step 5: Solve for x
    x = 680,896,836/19,748
  6. Step 6: Final answer
    x = 34,479.28

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.