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Finding the Third Proportional to 25,007.50 and 59,031.50

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Solution

The third proportional to 25,007.50 and 59,031.50 is: 139,346.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,007.50 : 59,031.50 = 59,031.50 : x
  2. Step 2: Convert to fraction form
    25,007.50/59,031.50 = 59,031.50/x
  3. Step 3: Cross multiply
    25,007.50x = 59,031.50 × 59,031.50
  4. Step 4: Simplify right side
    25,007.50x = 3,484,717,992.25
  5. Step 5: Solve for x
    x = 3,484,717,992.25/25,007.50
  6. Step 6: Final answer
    x = 139,346.92

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.