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Finding the Third Proportional to 61,510.13 and 78,596.25

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Solution

The third proportional to 61,510.13 and 78,596.25 is: 100,428.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,510.13 : 78,596.25 = 78,596.25 : x
  2. Step 2: Convert to fraction form
    61,510.13/78,596.25 = 78,596.25/x
  3. Step 3: Cross multiply
    61,510.13x = 78,596.25 × 78,596.25
  4. Step 4: Simplify right side
    61,510.13x = 6,177,370,514.06
  5. Step 5: Solve for x
    x = 6,177,370,514.06/61,510.13
  6. Step 6: Final answer
    x = 100,428.52

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.