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Finding the Third Proportional to 10,020 and 14,962.50

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Solution

The third proportional to 10,020 and 14,962.50 is: 22,342.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,020 : 14,962.50 = 14,962.50 : x
  2. Step 2: Convert to fraction form
    10,020/14,962.50 = 14,962.50/x
  3. Step 3: Cross multiply
    10,020x = 14,962.50 × 14,962.50
  4. Step 4: Simplify right side
    10,020x = 223,876,406.25
  5. Step 5: Solve for x
    x = 223,876,406.25/10,020
  6. Step 6: Final answer
    x = 22,342.95

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.