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Finding the Third Proportional to 9,088 and 21,028

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Solution

The third proportional to 9,088 and 21,028 is: 48,655.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,088 : 21,028 = 21,028 : x
  2. Step 2: Convert to fraction form
    9,088/21,028 = 21,028/x
  3. Step 3: Cross multiply
    9,088x = 21,028 × 21,028
  4. Step 4: Simplify right side
    9,088x = 442,176,784
  5. Step 5: Solve for x
    x = 442,176,784/9,088
  6. Step 6: Final answer
    x = 48,655.02

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.