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Finding the Third Proportional to 7,307.16 and 15,782.06

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Solution

The third proportional to 7,307.16 and 15,782.06 is: 34,086.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,307.16 : 15,782.06 = 15,782.06 : x
  2. Step 2: Convert to fraction form
    7,307.16/15,782.06 = 15,782.06/x
  3. Step 3: Cross multiply
    7,307.16x = 15,782.06 × 15,782.06
  4. Step 4: Simplify right side
    7,307.16x = 249,073,496.75
  5. Step 5: Solve for x
    x = 249,073,496.75/7,307.16
  6. Step 6: Final answer
    x = 34,086.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.