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Finding the Third Proportional to 14,261.06 and 23,441.91

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Solution

The third proportional to 14,261.06 and 23,441.91 is: 38,533.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,261.06 : 23,441.91 = 23,441.91 : x
  2. Step 2: Convert to fraction form
    14,261.06/23,441.91 = 23,441.91/x
  3. Step 3: Cross multiply
    14,261.06x = 23,441.91 × 23,441.91
  4. Step 4: Simplify right side
    14,261.06x = 549,522,968.63
  5. Step 5: Solve for x
    x = 549,522,968.63/14,261.06
  6. Step 6: Final answer
    x = 38,533.10

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.