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Finding the Third Proportional to 10,040 and 13,417.50

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Solution

The third proportional to 10,040 and 13,417.50 is: 17,931.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,040 : 13,417.50 = 13,417.50 : x
  2. Step 2: Convert to fraction form
    10,040/13,417.50 = 13,417.50/x
  3. Step 3: Cross multiply
    10,040x = 13,417.50 × 13,417.50
  4. Step 4: Simplify right side
    10,040x = 180,029,306.25
  5. Step 5: Solve for x
    x = 180,029,306.25/10,040
  6. Step 6: Final answer
    x = 17,931.21

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.