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Finding the Third Proportional to 21,488 and 47,335

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Solution

The third proportional to 21,488 and 47,335 is: 104,272.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,488 : 47,335 = 47,335 : x
  2. Step 2: Convert to fraction form
    21,488/47,335 = 47,335/x
  3. Step 3: Cross multiply
    21,488x = 47,335 × 47,335
  4. Step 4: Simplify right side
    21,488x = 2,240,602,225
  5. Step 5: Solve for x
    x = 2,240,602,225/21,488
  6. Step 6: Final answer
    x = 104,272.26

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.