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Finding the Third Proportional to 19,752.61 and 42,854.06

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Solution

The third proportional to 19,752.61 and 42,854.06 is: 92,973.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,752.61 : 42,854.06 = 42,854.06 : x
  2. Step 2: Convert to fraction form
    19,752.61/42,854.06 = 42,854.06/x
  3. Step 3: Cross multiply
    19,752.61x = 42,854.06 × 42,854.06
  4. Step 4: Simplify right side
    19,752.61x = 1,836,470,672.75
  5. Step 5: Solve for x
    x = 1,836,470,672.75/19,752.61
  6. Step 6: Final answer
    x = 92,973.57

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.