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Finding the Third Proportional to 30,534 and 48,572

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Solution

The third proportional to 30,534 and 48,572 is: 77,265.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,534 : 48,572 = 48,572 : x
  2. Step 2: Convert to fraction form
    30,534/48,572 = 48,572/x
  3. Step 3: Cross multiply
    30,534x = 48,572 × 48,572
  4. Step 4: Simplify right side
    30,534x = 2,359,239,184
  5. Step 5: Solve for x
    x = 2,359,239,184/30,534
  6. Step 6: Final answer
    x = 77,265.97

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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.