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Finding the Third Proportional to 10,407.38 and 15,870.38

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Solution

The third proportional to 10,407.38 and 15,870.38 is: 24,200.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,407.38 : 15,870.38 = 15,870.38 : x
  2. Step 2: Convert to fraction form
    10,407.38/15,870.38 = 15,870.38/x
  3. Step 3: Cross multiply
    10,407.38x = 15,870.38 × 15,870.38
  4. Step 4: Simplify right side
    10,407.38x = 251,868,802.64
  5. Step 5: Solve for x
    x = 251,868,802.64/10,407.38
  6. Step 6: Final answer
    x = 24,200.99

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.