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Finding the Third Proportional to 10,038.94 and 15,627.94

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Solution

The third proportional to 10,038.94 and 15,627.94 is: 24,328.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,038.94 : 15,627.94 = 15,627.94 : x
  2. Step 2: Convert to fraction form
    10,038.94/15,627.94 = 15,627.94/x
  3. Step 3: Cross multiply
    10,038.94x = 15,627.94 × 15,627.94
  4. Step 4: Simplify right side
    10,038.94x = 244,232,430.50
  5. Step 5: Solve for x
    x = 244,232,430.50/10,038.94
  6. Step 6: Final answer
    x = 24,328.51

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.