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Finding the Third Proportional to 30,066.19 and 64,950.19

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Solution

The third proportional to 30,066.19 and 64,950.19 is: 140,308.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,066.19 : 64,950.19 = 64,950.19 : x
  2. Step 2: Convert to fraction form
    30,066.19/64,950.19 = 64,950.19/x
  3. Step 3: Cross multiply
    30,066.19x = 64,950.19 × 64,950.19
  4. Step 4: Simplify right side
    30,066.19x = 4,218,526,856.29
  5. Step 5: Solve for x
    x = 4,218,526,856.29/30,066.19
  6. Step 6: Final answer
    x = 140,308.01

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Why These Related Problems?

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