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Finding the Third Proportional to 46,957.50 and 101,313

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Solution

The third proportional to 46,957.50 and 101,313 is: 218,587.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,957.50 : 101,313 = 101,313 : x
  2. Step 2: Convert to fraction form
    46,957.50/101,313 = 101,313/x
  3. Step 3: Cross multiply
    46,957.50x = 101,313 × 101,313
  4. Step 4: Simplify right side
    46,957.50x = 10,264,323,969
  5. Step 5: Solve for x
    x = 10,264,323,969/46,957.50
  6. Step 6: Final answer
    x = 218,587.53

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.