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Finding the Third Proportional to 25,487.16 and 42,122.53

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Solution

The third proportional to 25,487.16 and 42,122.53 is: 69,615.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,487.16 : 42,122.53 = 42,122.53 : x
  2. Step 2: Convert to fraction form
    25,487.16/42,122.53 = 42,122.53/x
  3. Step 3: Cross multiply
    25,487.16x = 42,122.53 × 42,122.53
  4. Step 4: Simplify right side
    25,487.16x = 1,774,307,638.91
  5. Step 5: Solve for x
    x = 1,774,307,638.91/25,487.16
  6. Step 6: Final answer
    x = 69,615.76

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These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.