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Finding the Third Proportional to 15,272.25 and 22,362

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Solution

The third proportional to 15,272.25 and 22,362 is: 32,742.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,272.25 : 22,362 = 22,362 : x
  2. Step 2: Convert to fraction form
    15,272.25/22,362 = 22,362/x
  3. Step 3: Cross multiply
    15,272.25x = 22,362 × 22,362
  4. Step 4: Simplify right side
    15,272.25x = 500,059,044
  5. Step 5: Solve for x
    x = 500,059,044/15,272.25
  6. Step 6: Final answer
    x = 32,742.98

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.