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Finding the Third Proportional to 26,966.63 and 42,210.38

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Solution

The third proportional to 26,966.63 and 42,210.38 is: 66,071.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,966.63 : 42,210.38 = 42,210.38 : x
  2. Step 2: Convert to fraction form
    26,966.63/42,210.38 = 42,210.38/x
  3. Step 3: Cross multiply
    26,966.63x = 42,210.38 × 42,210.38
  4. Step 4: Simplify right side
    26,966.63x = 1,781,715,757.64
  5. Step 5: Solve for x
    x = 1,781,715,757.64/26,966.63
  6. Step 6: Final answer
    x = 66,071.14

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.