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Finding the Third Proportional to 15,240 and 37,572

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Solution

The third proportional to 15,240 and 37,572 is: 92,628.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,240 : 37,572 = 37,572 : x
  2. Step 2: Convert to fraction form
    15,240/37,572 = 37,572/x
  3. Step 3: Cross multiply
    15,240x = 37,572 × 37,572
  4. Step 4: Simplify right side
    15,240x = 1,411,655,184
  5. Step 5: Solve for x
    x = 1,411,655,184/15,240
  6. Step 6: Final answer
    x = 92,628.29

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Why These Related Problems?

These problems maintain the same ratio (2.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.