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Finding the Third Proportional to 8,748 and 13,490

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Solution

The third proportional to 8,748 and 13,490 is: 20,802.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,748 : 13,490 = 13,490 : x
  2. Step 2: Convert to fraction form
    8,748/13,490 = 13,490/x
  3. Step 3: Cross multiply
    8,748x = 13,490 × 13,490
  4. Step 4: Simplify right side
    8,748x = 181,980,100
  5. Step 5: Solve for x
    x = 181,980,100/8,748
  6. Step 6: Final answer
    x = 20,802.48

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.