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Finding the Third Proportional to 15,054 and 22,363

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Solution

The third proportional to 15,054 and 22,363 is: 33,220.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,054 : 22,363 = 22,363 : x
  2. Step 2: Convert to fraction form
    15,054/22,363 = 22,363/x
  3. Step 3: Cross multiply
    15,054x = 22,363 × 22,363
  4. Step 4: Simplify right side
    15,054x = 500,103,769
  5. Step 5: Solve for x
    x = 500,103,769/15,054
  6. Step 6: Final answer
    x = 33,220.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.