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Finding the Third Proportional to 19,430.81 and 30,005.06

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Solution

The third proportional to 19,430.81 and 30,005.06 is: 46,333.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,430.81 : 30,005.06 = 30,005.06 : x
  2. Step 2: Convert to fraction form
    19,430.81/30,005.06 = 30,005.06/x
  3. Step 3: Cross multiply
    19,430.81x = 30,005.06 × 30,005.06
  4. Step 4: Simplify right side
    19,430.81x = 900,303,775.63
  5. Step 5: Solve for x
    x = 900,303,775.63/19,430.81
  6. Step 6: Final answer
    x = 46,333.82

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.