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Finding the Third Proportional to 28,348 and 61,798

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Solution

The third proportional to 28,348 and 61,798 is: 134,718.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,348 : 61,798 = 61,798 : x
  2. Step 2: Convert to fraction form
    28,348/61,798 = 61,798/x
  3. Step 3: Cross multiply
    28,348x = 61,798 × 61,798
  4. Step 4: Simplify right side
    28,348x = 3,818,992,804
  5. Step 5: Solve for x
    x = 3,818,992,804/28,348
  6. Step 6: Final answer
    x = 134,718.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.