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Finding the Third Proportional to 5,748 and 9,117.50

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Solution

The third proportional to 5,748 and 9,117.50 is: 14,462.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,748 : 9,117.50 = 9,117.50 : x
  2. Step 2: Convert to fraction form
    5,748/9,117.50 = 9,117.50/x
  3. Step 3: Cross multiply
    5,748x = 9,117.50 × 9,117.50
  4. Step 4: Simplify right side
    5,748x = 83,128,806.25
  5. Step 5: Solve for x
    x = 83,128,806.25/5,748
  6. Step 6: Final answer
    x = 14,462.21

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.