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Finding the Third Proportional to 42,584 and 99,464

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Solution

The third proportional to 42,584 and 99,464 is: 232,319.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,584 : 99,464 = 99,464 : x
  2. Step 2: Convert to fraction form
    42,584/99,464 = 99,464/x
  3. Step 3: Cross multiply
    42,584x = 99,464 × 99,464
  4. Step 4: Simplify right side
    42,584x = 9,893,087,296
  5. Step 5: Solve for x
    x = 9,893,087,296/42,584
  6. Step 6: Final answer
    x = 232,319.35

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.