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Finding the Third Proportional to 19,263 and 30,646.50

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Solution

The third proportional to 19,263 and 30,646.50 is: 48,757.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,263 : 30,646.50 = 30,646.50 : x
  2. Step 2: Convert to fraction form
    19,263/30,646.50 = 30,646.50/x
  3. Step 3: Cross multiply
    19,263x = 30,646.50 × 30,646.50
  4. Step 4: Simplify right side
    19,263x = 939,207,962.25
  5. Step 5: Solve for x
    x = 939,207,962.25/19,263
  6. Step 6: Final answer
    x = 48,757.10

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.