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Finding the Third Proportional to 30,237.38 and 65,721.75

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Solution

The third proportional to 30,237.38 and 65,721.75 is: 142,848.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,237.38 : 65,721.75 = 65,721.75 : x
  2. Step 2: Convert to fraction form
    30,237.38/65,721.75 = 65,721.75/x
  3. Step 3: Cross multiply
    30,237.38x = 65,721.75 × 65,721.75
  4. Step 4: Simplify right side
    30,237.38x = 4,319,348,423.06
  5. Step 5: Solve for x
    x = 4,319,348,423.06/30,237.38
  6. Step 6: Final answer
    x = 142,848.00

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.