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Finding the Third Proportional to 29,590 and 47,070

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Solution

The third proportional to 29,590 and 47,070 is: 74,876.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,590 : 47,070 = 47,070 : x
  2. Step 2: Convert to fraction form
    29,590/47,070 = 47,070/x
  3. Step 3: Cross multiply
    29,590x = 47,070 × 47,070
  4. Step 4: Simplify right side
    29,590x = 2,215,584,900
  5. Step 5: Solve for x
    x = 2,215,584,900/29,590
  6. Step 6: Final answer
    x = 74,876.14

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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.