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Finding the Third Proportional to 19,521 and 42,575.63

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Solution

The third proportional to 19,521 and 42,575.63 is: 92,858.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,521 : 42,575.63 = 42,575.63 : x
  2. Step 2: Convert to fraction form
    19,521/42,575.63 = 42,575.63/x
  3. Step 3: Cross multiply
    19,521x = 42,575.63 × 42,575.63
  4. Step 4: Simplify right side
    19,521x = 1,812,683,844.14
  5. Step 5: Solve for x
    x = 1,812,683,844.14/19,521
  6. Step 6: Final answer
    x = 92,858.14

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.