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Finding the Third Proportional to 40,430 and 93,417

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Solution

The third proportional to 40,430 and 93,417 is: 215,848.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,430 : 93,417 = 93,417 : x
  2. Step 2: Convert to fraction form
    40,430/93,417 = 93,417/x
  3. Step 3: Cross multiply
    40,430x = 93,417 × 93,417
  4. Step 4: Simplify right side
    40,430x = 8,726,735,889
  5. Step 5: Solve for x
    x = 8,726,735,889/40,430
  6. Step 6: Final answer
    x = 215,848.03

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.