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Finding the Third Proportional to 30,009.38 and 42,886.13

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Solution

The third proportional to 30,009.38 and 42,886.13 is: 61,288.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,009.38 : 42,886.13 = 42,886.13 : x
  2. Step 2: Convert to fraction form
    30,009.38/42,886.13 = 42,886.13/x
  3. Step 3: Cross multiply
    30,009.38x = 42,886.13 × 42,886.13
  4. Step 4: Simplify right side
    30,009.38x = 1,839,219,717.52
  5. Step 5: Solve for x
    x = 1,839,219,717.52/30,009.38
  6. Step 6: Final answer
    x = 61,288.17

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.