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Finding the Third Proportional to 14,520 and 22,410

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Solution

The third proportional to 14,520 and 22,410 is: 34,587.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,520 : 22,410 = 22,410 : x
  2. Step 2: Convert to fraction form
    14,520/22,410 = 22,410/x
  3. Step 3: Cross multiply
    14,520x = 22,410 × 22,410
  4. Step 4: Simplify right side
    14,520x = 502,208,100
  5. Step 5: Solve for x
    x = 502,208,100/14,520
  6. Step 6: Final answer
    x = 34,587.33

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.