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Finding the Third Proportional to 10,053.49 and 14,909.06

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Solution

The third proportional to 10,053.49 and 14,909.06 is: 22,109.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,053.49 : 14,909.06 = 14,909.06 : x
  2. Step 2: Convert to fraction form
    10,053.49/14,909.06 = 14,909.06/x
  3. Step 3: Cross multiply
    10,053.49x = 14,909.06 × 14,909.06
  4. Step 4: Simplify right side
    10,053.49x = 222,280,144.63
  5. Step 5: Solve for x
    x = 222,280,144.63/10,053.49
  6. Step 6: Final answer
    x = 22,109.74

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.