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Finding the Third Proportional to 19,548 and 42,135.75

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Solution

The third proportional to 19,548 and 42,135.75 is: 90,823.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,548 : 42,135.75 = 42,135.75 : x
  2. Step 2: Convert to fraction form
    19,548/42,135.75 = 42,135.75/x
  3. Step 3: Cross multiply
    19,548x = 42,135.75 × 42,135.75
  4. Step 4: Simplify right side
    19,548x = 1,775,421,428.06
  5. Step 5: Solve for x
    x = 1,775,421,428.06/19,548
  6. Step 6: Final answer
    x = 90,823.69

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.