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Finding the Third Proportional to 28,071 and 61,417

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Solution

The third proportional to 28,071 and 61,417 is: 134,375.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,071 : 61,417 = 61,417 : x
  2. Step 2: Convert to fraction form
    28,071/61,417 = 61,417/x
  3. Step 3: Cross multiply
    28,071x = 61,417 × 61,417
  4. Step 4: Simplify right side
    28,071x = 3,772,047,889
  5. Step 5: Solve for x
    x = 3,772,047,889/28,071
  6. Step 6: Final answer
    x = 134,375.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.