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Finding the Third Proportional to 15,298.50 and 22,663.50

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Solution

The third proportional to 15,298.50 and 22,663.50 is: 33,574.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,298.50 : 22,663.50 = 22,663.50 : x
  2. Step 2: Convert to fraction form
    15,298.50/22,663.50 = 22,663.50/x
  3. Step 3: Cross multiply
    15,298.50x = 22,663.50 × 22,663.50
  4. Step 4: Simplify right side
    15,298.50x = 513,634,232.25
  5. Step 5: Solve for x
    x = 513,634,232.25/15,298.50
  6. Step 6: Final answer
    x = 33,574.16

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.