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Finding the Third Proportional to 19,567.50 and 42,718.50

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Solution

The third proportional to 19,567.50 and 42,718.50 is: 93,260.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,567.50 : 42,718.50 = 42,718.50 : x
  2. Step 2: Convert to fraction form
    19,567.50/42,718.50 = 42,718.50/x
  3. Step 3: Cross multiply
    19,567.50x = 42,718.50 × 42,718.50
  4. Step 4: Simplify right side
    19,567.50x = 1,824,870,242.25
  5. Step 5: Solve for x
    x = 1,824,870,242.25/19,567.50
  6. Step 6: Final answer
    x = 93,260.27

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