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Finding the Third Proportional to 7,802.53 and 17,064.80

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Solution

The third proportional to 7,802.53 and 17,064.80 is: 37,322.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,802.53 : 17,064.80 = 17,064.80 : x
  2. Step 2: Convert to fraction form
    7,802.53/17,064.80 = 17,064.80/x
  3. Step 3: Cross multiply
    7,802.53x = 17,064.80 × 17,064.80
  4. Step 4: Simplify right side
    7,802.53x = 291,207,292.39
  5. Step 5: Solve for x
    x = 291,207,292.39/7,802.53
  6. Step 6: Final answer
    x = 37,322.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.