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Finding the Third Proportional to 46,824 and 101,585

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Solution

The third proportional to 46,824 and 101,585 is: 220,389.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,824 : 101,585 = 101,585 : x
  2. Step 2: Convert to fraction form
    46,824/101,585 = 101,585/x
  3. Step 3: Cross multiply
    46,824x = 101,585 × 101,585
  4. Step 4: Simplify right side
    46,824x = 10,319,512,225
  5. Step 5: Solve for x
    x = 10,319,512,225/46,824
  6. Step 6: Final answer
    x = 220,389.38

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.