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Finding the Third Proportional to 9,264.38 and 23,009.06

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Solution

The third proportional to 9,264.38 and 23,009.06 is: 57,145.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,264.38 : 23,009.06 = 23,009.06 : x
  2. Step 2: Convert to fraction form
    9,264.38/23,009.06 = 23,009.06/x
  3. Step 3: Cross multiply
    9,264.38x = 23,009.06 × 23,009.06
  4. Step 4: Simplify right side
    9,264.38x = 529,416,957.13
  5. Step 5: Solve for x
    x = 529,416,957.13/9,264.38
  6. Step 6: Final answer
    x = 57,145.46

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Why These Related Problems?

These problems maintain the same ratio (2.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.