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Finding the Third Proportional to 30,534 and 48,570

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Solution

The third proportional to 30,534 and 48,570 is: 77,259.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,534 : 48,570 = 48,570 : x
  2. Step 2: Convert to fraction form
    30,534/48,570 = 48,570/x
  3. Step 3: Cross multiply
    30,534x = 48,570 × 48,570
  4. Step 4: Simplify right side
    30,534x = 2,359,044,900
  5. Step 5: Solve for x
    x = 2,359,044,900/30,534
  6. Step 6: Final answer
    x = 77,259.61

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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.