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Finding the Third Proportional to 19,875.22 and 42,499.13

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Solution

The third proportional to 19,875.22 and 42,499.13 is: 90,875.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,875.22 : 42,499.13 = 42,499.13 : x
  2. Step 2: Convert to fraction form
    19,875.22/42,499.13 = 42,499.13/x
  3. Step 3: Cross multiply
    19,875.22x = 42,499.13 × 42,499.13
  4. Step 4: Simplify right side
    19,875.22x = 1,806,176,372.82
  5. Step 5: Solve for x
    x = 1,806,176,372.82/19,875.22
  6. Step 6: Final answer
    x = 90,875.81

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.