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Finding the Third Proportional to 30,498 and 47,527

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Solution

The third proportional to 30,498 and 47,527 is: 74,064.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,498 : 47,527 = 47,527 : x
  2. Step 2: Convert to fraction form
    30,498/47,527 = 47,527/x
  3. Step 3: Cross multiply
    30,498x = 47,527 × 47,527
  4. Step 4: Simplify right side
    30,498x = 2,258,815,729
  5. Step 5: Solve for x
    x = 2,258,815,729/30,498
  6. Step 6: Final answer
    x = 74,064.39

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.