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Finding the Third Proportional to 23,442.47 and 55,304.16

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Solution

The third proportional to 23,442.47 and 55,304.16 is: 130,470.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,442.47 : 55,304.16 = 55,304.16 : x
  2. Step 2: Convert to fraction form
    23,442.47/55,304.16 = 55,304.16/x
  3. Step 3: Cross multiply
    23,442.47x = 55,304.16 × 55,304.16
  4. Step 4: Simplify right side
    23,442.47x = 3,058,549,698.52
  5. Step 5: Solve for x
    x = 3,058,549,698.52/23,442.47
  6. Step 6: Final answer
    x = 130,470.46

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.