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Finding the Third Proportional to 19,417.25 and 42,468.75

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Solution

The third proportional to 19,417.25 and 42,468.75 is: 92,886.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,417.25 : 42,468.75 = 42,468.75 : x
  2. Step 2: Convert to fraction form
    19,417.25/42,468.75 = 42,468.75/x
  3. Step 3: Cross multiply
    19,417.25x = 42,468.75 × 42,468.75
  4. Step 4: Simplify right side
    19,417.25x = 1,803,594,726.56
  5. Step 5: Solve for x
    x = 1,803,594,726.56/19,417.25
  6. Step 6: Final answer
    x = 92,886.21

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.