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Finding the Third Proportional to 37,819.13 and 59,797.13

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Solution

The third proportional to 37,819.13 and 59,797.13 is: 94,547.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,819.13 : 59,797.13 = 59,797.13 : x
  2. Step 2: Convert to fraction form
    37,819.13/59,797.13 = 59,797.13/x
  3. Step 3: Cross multiply
    37,819.13x = 59,797.13 × 59,797.13
  4. Step 4: Simplify right side
    37,819.13x = 3,575,696,158.27
  5. Step 5: Solve for x
    x = 3,575,696,158.27/37,819.13
  6. Step 6: Final answer
    x = 94,547.30

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.