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Finding the Third Proportional to 19,419.12 and 42,544.93

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Solution

The third proportional to 19,419.12 and 42,544.93 is: 93,210.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,419.12 : 42,544.93 = 42,544.93 : x
  2. Step 2: Convert to fraction form
    19,419.12/42,544.93 = 42,544.93/x
  3. Step 3: Cross multiply
    19,419.12x = 42,544.93 × 42,544.93
  4. Step 4: Simplify right side
    19,419.12x = 1,810,071,374.50
  5. Step 5: Solve for x
    x = 1,810,071,374.50/19,419.12
  6. Step 6: Final answer
    x = 93,210.80

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.