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Finding the Third Proportional to 30,315.38 and 65,470.50

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Solution

The third proportional to 30,315.38 and 65,470.50 is: 141,393.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,315.38 : 65,470.50 = 65,470.50 : x
  2. Step 2: Convert to fraction form
    30,315.38/65,470.50 = 65,470.50/x
  3. Step 3: Cross multiply
    30,315.38x = 65,470.50 × 65,470.50
  4. Step 4: Simplify right side
    30,315.38x = 4,286,386,370.25
  5. Step 5: Solve for x
    x = 4,286,386,370.25/30,315.38
  6. Step 6: Final answer
    x = 141,393.15

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.