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Finding the Third Proportional to 56,928.75 and 83,547.38

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Solution

The third proportional to 56,928.75 and 83,547.38 is: 122,612.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,928.75 : 83,547.38 = 83,547.38 : x
  2. Step 2: Convert to fraction form
    56,928.75/83,547.38 = 83,547.38/x
  3. Step 3: Cross multiply
    56,928.75x = 83,547.38 × 83,547.38
  4. Step 4: Simplify right side
    56,928.75x = 6,980,163,869.39
  5. Step 5: Solve for x
    x = 6,980,163,869.39/56,928.75
  6. Step 6: Final answer
    x = 122,612.28

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.